The beauty of equations and the romance of nonlinear physics

Translation. Region: Russian Federation –

Source: Novosibirsk State University –

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Before the New Year holidays, an auditorium named after the eminent Russian theoretical physicist Vladimir Evgenievich Zakharov opened in the NSU auditorium building, which is part of the second phase of the new campus being built as part of the national project "Youth and Children." Following the ceremony dedicated to this memorable event for the university, former NSU Rector, Doctor of Physics and Mathematics, and Academician of the Russian Academy of Sciences Mikhail Fedoruk shared his memories of this remarkable man, a brilliant scientist, a talented mentor to young scientists, and an outstanding poet.

Vladimir Zakharov's name was etched into NSU's history at the very beginning of his scientific career, when the young scientist became one of its first graduates. NSU's first graduating class was in December 1963. Sixty-six specialists received diplomas from the young university: 26 physicists, 24 mathematicians, and 10 mechanics specialists. They had transferred from other universities but completed their studies and defended their theses at NSU. Among the first graduates, in addition to Vladimir Zakharov, were A. A. Galeev, A. M. Fridman, and Yu. L. Ershov, who later became academicians of the Russian Academy of Sciences.

Mikhail Petrovich, you worked with Vladimir Evgenievich for a long time. What do you remember about him?

I wasn't Vladimir Evgenievich's direct student, but we spent a lot of time together over the last 13 years of his life, and he supported me when I was elected rector of NSU. He was a very interesting person, gifted with remarkable talent in everything he did. Take, for example, the equations you can see next to his portrait on the wall of the lecture hall named after him. If you delve into even one equation in Lax's formulation, it becomes clear that only a genius could have come up with such a thing. This equation pertains to the theory of nonlinear integrable systems and is key to describing solitons in nonlinear optics (the propagation of light in a medium) or in hydrodynamics (water waves). It is closely related to the Lax representation, which allows a complex nonlinear equation to be reduced to a system of linear problems, making it solvable using the inverse scattering method.

In addition to being a great scientist, Vladimir Evgenievich was a very talented and renowned poet. That's why, in the lecture hall named after him, his poem "Theorist," written in 1980, is displayed on the same wall as the formulas. This is my favorite poem by Vladimir Evgenievich. It's quite bold, if you read the lines carefully. I believe this man's literary legacy should not be forgotten; his works should be revisited and understood, because their lines remain relevant today. I carefully preserve his small collection of six volumes of his works in my home library. The first volume contains his inscription addressed to me with very warm wishes. For me, the opening of this lecture hall is a tribute to the memory of this remarkable and amazingly talented person, and I am glad that it is adorned with lines from my favorite poem by Vladimir Evgenievich. Current NSU students should know what remarkable and talented people our university has produced.

Vladimir Evgenievich was a man of remarkable civic commitment. While working at NSU, he signed the famous "Letter of Forty-Six." And he didn't just sign it—the signing took place in his apartment. As a reminder, the "Letter of Forty-Six" was signed on February 19, 1968, by forty-six academic staff members at Akademgorodok. It protested the violations of the law at the Moscow trial of the "Four," namely, samizdat activists and human rights defenders Alexander Ginzburg, Yuri Galanskov, Alexei Dobrovolsky, and Vera Lashkova, who were arrested in January 1967 on charges of anti-Soviet agitation and propaganda. Their trial took place in January 1968, and all four were sentenced to varying terms of imprisonment. The "Letter of Forty-Six" was sent to the Supreme Court of the RSFSR and the Prosecutor General of the USSR, with copies to the Chairman of the Presidium of the Supreme Soviet of the USSR N.V. Podgorny, the General Secretary of the Central Committee of the CPSU L.I. Brezhnev, the Chairman of the Council of Ministers of the USSR A.N. Kosygin, and the editorial office of the newspaper Komsomolskaya Pravda.

After moving to Moscow, Vladimir Evgenievich served as director of the Landau Institute for Theoretical Physics for ten years. He succeeded the institute's first director, Academician of the USSR Academy of Sciences Isaak Markovich Khalatnikov. Incidentally, the institute has had only four directors in its history, including its current director, Igor Valentinovich Kolokolov, who, like Vladimir Evgenievich, is a graduate of the Physics Department of Novosibirsk State University.

Vladimir Evgenievich's fight against pseudoscience is also significant, demonstrating integrity, courage, and tenacity. He demonstrated these qualities in everything and always, including by refusing the Lenin Prize for developing the inverse scattering method. Initially, it was decided to award this prize to Vladimir Evgenievich, Alexey Borisovich Shabat, and Ludwig Dmitrievich Faddeev. However, Alexey Vladimirovich Shabat's name was removed from the list for various reasons, and his colleagues then declined to accept this prestigious award. At that time, this was a very bold decision, one that few would have dared to make.

He took another very bold step when he became one of the organizers of the informal "July 1st" Club, which united leading Russian scientists who opposed the 2013 reform of the Russian Academy of Sciences.

Throughout his life, Vladimir Evgenievich Zakharov showed himself to be a principled, honest, fair and highly moral person.

— It is known that Vladimir Evgenievich had a very high h-index—65. Tell us about his contribution to science?

"Even now, my scientific work is connected to the contributions Vladimir Evgenievich made. First and foremost, of course, is the theory of wave collapses, which was formulated here in the Novosibirsk Akademgorodok in the early 1970s."

His second significant discovery was the development of the inverse scattering method and the construction of multisoliton solutions within the framework of the nonlinear Schrödinger equation, which you can see on the wall of the lecture hall named after him. It is undoubtedly a gem of 20th-century theoretical and mathematical physics. I'll try to explain it as simply as possible: there is a linear Fourier transform. A group of scientists, including Vladimir Evgenievich, constructed a nonlinear Fourier transform in which the spectral data contains not only a continuous spectrum but also a discrete one. The greatest achievement of Vladimir Evgenievich and Anatoly Borisovich Shabat is their discovery of the Lax pair for the nonlinear Schrödinger equation. I'm still amazed at how they managed it! Vladimir Evgenievich once told Sergei Turitsyn and me that he spent a year and a half thinking about this problem, but I'm sure that ordinary people would have spent 150 years pondering this problem, and it's not a given that they would have found a solution.

His third major achievement is wave turbulence. These are the spectra now called Zakharov-Kolmogorov spectra, and the discovery of the inverse cascade. It was for this discovery that Vladimir Evgenievich was awarded the Dirac Medal, which is not awarded to Nobel laureates. True, he never received the Nobel Prize, although he undoubtedly deserved it. Unfortunately, almost all the creators of nonlinear theory have already passed away. And, of course, there are very few people left of Academician Zakharov's stature.

— What contribution do you think Vladimir Evgenievich made to the development of NSU?

"I consider Vladimir Evgenievich one of our university's most outstanding alumni. NSU has produced many outstanding, talented scientists who have made invaluable contributions to science, but even if he were the only one, that would fully justify the university's existence from its founding to the present day."

While teaching at NSU, Vladimir Evgenievich wasn't shy about admitting his mistakes when they occurred, showed his students how to correct them, and taught them to think from a research perspective. He believed that this was the only way to cultivate a scientist. And this, in my opinion, is his most important contribution to teaching.

Returning to Novosibirsk in 2010, he founded the Laboratory of Nonlinear Wave Processes at NSU. It's worth noting that much earlier, he had given impetus to the development of nonlinear science. He recounted that during his student years, the 10-volume theoretical physics textbook by L. D. Landau and E. M. Lifshitz was the standard textbook for physicists. This course was missing only one volume devoted to nonlinear science. Vladimir Evgenievich was one of the founders of this field. And now, at NSU, we strive to continue his life's work.

— It would seem that there are no concepts more distant from each other than physics and poetry, but Vladimir Evgenievich managed to demonstrate through his own example that this is not so…

"I think physics is very romantic. Our university was founded in 1959, at the height of the debate between physicists and lyricists. Remember Boris Slutsky's poem: "For some reason, physicists are held in high esteem. For some reason, lyricists are relegated. It's not a matter of dry calculations, It's a matter of universal law." Discussions on this matter were published in the Literary Gazette, and our Novosibirsk scientists joined in these debates. Some rushed to justify the lyricists, others to defend the physicists. But in fact, physicists sometimes turned out to be more lyrical than the lyricists themselves. And Vladimir Evgenievich's example confirms this assertion. And this is not surprising, because talented people are talented in many ways. But such people are born very rarely. I would like our students to know what great scientists have graduated from the university. Indeed, by the standards of the Hamburg, Nobel Prize-winning scientists, Vladimir Evgenievich Zakharov is a brilliant scientist. Just look at the beauty of the equations he derived, which are presented to this audience.

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Iraq announced the complete withdrawal of US-led coalition forces from federal territories.

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Source: People's Republic of China in Russian – People's Republic of China in Russian –

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Source: People's Republic of China – State Council News

Baghdad, Jan. 19 (Xinhua) — Iraq announced on Sunday the complete withdrawal of international coalition advisers from all military bases and command centers in areas controlled by the Iraqi federal government.

The Supreme Military Commission tasked with completing the international coalition's mission said in a statement that several remaining advisers had left Iraq's Ain al-Asad airbase and the Joint Operations Command headquarters, handing over these strategic facilities to the full control of Iraqi security forces.

The first phase of the international coalition's military mission to combat the Islamic State (IS) in Iraq's federal territories has been completed, and Iraq has now transitioned to bilateral security relations with the United States, the statement said.

These relations will be aimed at activating memoranda of understanding in the area of military cooperation and developing the capabilities of the Iraqi armed forces in the areas of equipment, armament, training, exercises, maneuvers and joint operations to ensure continuous readiness to fight ISIS, the statement said.

It notes that the second phase of the international coalition's mission to combat ISIS in Syria has begun, and coordination with the coalition will continue in order to completely defeat ISIS in Syria.

On Saturday, the Iraqi Defense Ministry said the Iraqi army had taken full control of the country's second-largest military airbase, Ain al-Asad, in the western province of Anbar following the withdrawal of American troops.

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The death toll from the Chile wildfire has risen to 18.

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Source: People's Republic of China – State Council News

SANTIAGO, Jan. 18 (Xinhua) — Chilean President Gabriel Boric said Sunday the death toll from wildfires engulfing the country's south-central region has reached 18 and is expected to rise.

“As of today, we have confirmed information about 18 deaths, but unfortunately, we are sure that this number will grow,” G. Boric told reporters in Concepción in the Bío-Bío region, about 500 kilometers south of Santiago.

He noted that preliminary estimates indicated that around 300 houses had been destroyed in Bio-Bio alone, warning that the final number could exceed 1,000.

Authorities imposed a curfew on Saturday evening in the municipalities of Penco, Nacimiento and Laja, while in Lirquen, one of the hardest-hit areas, a curfew was imposed earlier and remains in effect indefinitely after fires engulfed about 80 percent of the city.

According to the National Forestry Corporation, 14 forest fires are currently burning in Chile, with red alerts issued for them, and the burned area nationwide exceeds 24,000 hectares. The largest fire is in Concepción, covering over 10,600 hectares.

Boric has declared a state of emergency in the regions of Nuble and Bio-bio. –0–

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The number of people missing in the Inner Mongolia plant explosion has risen to eight.

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Source: People's Republic of China – State Council News

Hohhot, January 19 (Xinhua) — Two people were killed and 84 injured in an explosion at a factory in Inner Mongolia Autonomous Region on Sunday. The number of missing people has risen to eight, local authorities said on Monday.

The incident occurred at 3:03 PM at Baogang United Steel's sheet metal rolling mill in Baotou. As Vice Mayor Lin Li announced at a briefing, a 650-cubic-meter spherical tank containing saturated water and steam exploded.

According to him, 84 injured people were hospitalized. Five of them suffered serious injuries, while the rest suffered minor head and facial injuries and soft tissue bruises to the extremities. The patients' vital signs are stable.

Following the accident, an emergency response and liquidation center was established. Personnel from the local emergency management agency, fire service, police, health care, and market regulation agencies were mobilized for search and rescue operations.

Production at the affected plant has been suspended. A comprehensive inspection of potential safety hazards is underway at industrial and commercial facilities in Baotou.

An investigation into the environmental impact of the explosion is ongoing. No negative environmental impacts have been identified so far. Utilities and heating for residential buildings in the area have not been affected by the incident.

To determine the cause of the explosion, the Inner Mongolia Autonomous Region People's Government established a task force. Law enforcement agencies took legal action against those responsible.

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The 12th meeting of the China-Kazakhstan Commission on Environmental Cooperation was held

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Source: People's Republic of China – State Council News

Beijing, January 19 (Xinhua) — The 12th meeting of the China-Kazakhstan Commission on Environmental Cooperation was held via video link last Friday, the Ministry of Ecology and Environment of China reported on its official website.

The statement from the aforementioned department stated that the meeting was co-chaired by China's Deputy Minister of Ecology and Environment, Guo Fan, and Kazakhstan's Vice Minister of Ecology and Natural Resources, Mansur Oshurbayev.

Participants reviewed progress in cooperation since the previous meeting and heard reports on the work of the Working Group on Monitoring, Analysis, and Assessment of Water Quality in Transboundary Rivers and the Working Group on Rapid Response to Emergencies and Pollution Prevention of Transboundary Rivers. Both sides expressed satisfaction with the results of their work over the past year.

The Chinese side noted that within the framework of the above-mentioned commission, China is ready to work with Kazakhstan to continue to consolidate the results of cooperation in traditional areas, strengthen exchanges in policy, regulations and technology, expand areas of cooperation, stimulate its viability and jointly support the global trend towards a “green” and low-carbon transformation.

The Kazakh side stated that the Kazakhstan-China Commission on Environmental Cooperation has become an important mechanism for jointly discussing ecology and environmental issues, and the work of the two working groups within this commission has yielded positive results. Kazakhstan is ready to continue constructive dialogue with China on environmental protection, strengthen the exchange of best available technologies, and expand cooperation in environmental protection and sustainable development.

The parties also approved the commission's work plan for 2026 and signed a protocol following the meeting. -0-

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Cloud-based sales of New Year's goods help boost incomes for Xinjiang farmers.

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Source: People's Republic of China in Russian – People's Republic of China in Russian –

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Source: People's Republic of China – State Council News

As the Spring Festival approaches in Xinjiang, the busy season for New Year's goods begins. Local agricultural products such as Hetian walnuts, red dates, and others are becoming popular choices for consumers across China.

E-commerce businesses in Hetian County, Xinjiang, are using online streaming and online New Year's fairs to promote their high-quality products nationwide. This active cloud-based distribution not only enables them to cover vast distances and deliver Xinjiang delicacies to all corners of China, but also creates a "fast lane" for agricultural products from Xinjiang, increasing the incomes of local farmers and providing a powerful impetus for rural revitalization.

Photo by a Xinhua News Agency correspondent.

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NSU scientists were the first in Russia to develop a digital method for assessing depressive states based on voice analysis.

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Source: Novosibirsk State University –

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A research group from NSU, which includes scientists and students from the Psychology department Institute of Medicine and Medical Technologies (IMMT) NSU, developed an automated approach to assessing depression based on the acoustic characteristics of human speech. The project was supported by the program "Priority 2030".

Today, depression is one of the most common mental disorders. According to WHO estimates for 2025 Depression affects approximately 332 million people worldwide. Depression can occur as a standalone disorder or coexist with other illnesses, including physical ones. The situation is complicated by the fact that depression is often masked by physical complaints: patients experience vague aches and pains (for example, frequent headaches), heart problems, digestive problems, and a general deterioration in well-being, while the symptoms remain ambiguous, and it is impossible to determine the physical cause. In this situation, general practitioners often lack the time and expertise to conduct an in-depth diagnostic evaluation and make an accurate diagnosis.

"Analysis of objective indicators of depression can help reduce the workload of doctors and ensure accurate, high-quality, and timely diagnosis. Voice analysis can serve as one such indicator. It's worth noting that diagnosing depression using acoustic voice characteristics offers several advantages over traditional methods based on self-reporting and interviews, primarily because it completely eliminates the factor of social desirability: it's an objective indicator that reflects a person's condition, while a person cannot voluntarily control their voice to conceal symptoms of depression (or, conversely, aggravate them)," explained Marina Zlobina, PhD in Psychology, Senior Lecturer in the Department of Personality Psychology at the Institute of Mathematical and Mathematical Technologies (IMMT) of Novosibirsk State University, and the project's director.

A considerable number of studies have already been published abroad on diagnosing depression based on acoustic voice characteristics, including using neural network approaches. However, there is no data yet on the practical application of such technology. In Russia, such solutions are only just beginning to emerge: for example, technologies for assessing a person's condition based on voice parameters are being developed as part of research into human functional states in spaceflight conditions. However, these technologies do not address the issue of diagnosing anxiety and depression.

As the project's authors note, speech is a natural biomarker of mental state. Even a short excerpt contains valuable information about vocal energy, which is subject to change in depression and anxiety. Based on over 90 interviews, the researchers trained a neural network model that classifies speech into four levels of depression severity—from no symptoms to severe. The PHQ-9 questionnaire was used to assess the severity of depressive symptoms.

— В основу разработки легла современная архитектура wav2veс, которая позволяет извлекать векторные акустические характеристики голоса. Обученная модель демонстрирует высокую точность, которая сопоставима с результатами ведущих зарубежных исследований: точность оценивалась на основе показателя F1 — гармоническое среднее между точностью (precision) и полнотой (recall), F1 достиг значения >0.94. For practical use of the technology, a prototype NeuroVoice GUI application was created, implemented using the PyQt5 framework. The interface supports the full data management cycle—from uploading or recording audio to visualizing results and exporting recordings. The prototype allows both uploading existing recordings and conducting on-the-fly evaluations, explained Alexander Fedorov, PhD in Psychology, Associate Professor, and Head of the Department of Clinical Psychology at the Institute of Medical and Mathematical Technologies (IMMT) of Novosibirsk State University.

Work on the project was carried out over a period of four months – from September to December 2025. The team included Alexander Fedorov, PhD in Psychology, Associate Professor, Head of the Department of Clinical Psychology at IMMT; Marina Zlobina, PhD in Psychology, Senior Lecturer in the Department of Personality Psychology at IMMT; Kirill Kirilenkov, a graduate of the Psychology program at IMMT NSU; and Psychology students Daria Farkova (4th year) and Anastasia Glazunova (3rd year).

"It's important to note that this technology is not a replacement for a specialist psychologist or psychiatrist. However, it can be effectively used by general practitioners to identify comorbid depression associated with somatic illnesses, as well as masked depression, which often manifests as physical complaints, pain, and malaise that cannot be explained by a somatic illness," added Marina Zlobina.

The project is quite promising: plans call for expanding the dataset and using it to create a database of interviews with Russian-speaking subjects, similar to the English-language DAIC-WOZ (a multimodal corpus consisting of audio and video recordings, as well as transcribed interview text). Models will then be trained on the expanded dataset, integrated into the final application, and subsequently tested.

"In the future, the developed technology could also be used to diagnose other mental disorders (provided there is additional data available to further train the model). Furthermore, it is possible to integrate additional modalities (for example, facial expression analysis from video recordings)," concluded Marina Zlobina.

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Breaking: Death toll from twin train crash in southern Spain rises to 21

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Source: People's Republic of China – State Council News

MADRID, Jan. 19 (Xinhua) — At least 21 people were killed and 25 seriously injured when two high-speed trains derailed near the southern Spanish city of Cordoba.

About a hundred passengers received minor injuries.

A train carrying 317 passengers is reported to have derailed and collided with another train travelling at high speed in the opposite direction.

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An exhibition dedicated to New Year's paintings, "Nianhua," has opened in Liaoning Province.

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Source: People's Republic of China – State Council News

SHENYANG, Jan. 17 (Xinhua) — An exhibition titled "Happy Memories of Past Years in Nianhua New Year Pictures" opened at the Liaoning Provincial Museum on Friday. The exhibits mainly include New Year prints and woodcuts called "Taohua" and "Yangliuqing" that were collected by the provincial museum in the 1950s.

SHENYANG, Jan. 17 (Xinhua) — An exhibition titled "Happy Memories of Past Years in Nianhua New Year Pictures" opened at the Liaoning Provincial Museum on Friday. The exhibits mainly include New Year prints and woodcuts called "Taohua" and "Yangliuqing" that were collected by the provincial museum in the 1950s.

SHENYANG, Jan. 17 (Xinhua) — An exhibition titled "Happy Memories of Past Years in Nianhua New Year Pictures" opened at the Liaoning Provincial Museum on Friday. The exhibits mainly include New Year prints and woodcuts called "Taohua" and "Yangliuqing" that were collected by the provincial museum in the 1950s.

SHENYANG, Jan. 17 (Xinhua) — An exhibition titled "Happy Memories of Past Years in Nianhua New Year Pictures" opened at the Liaoning Provincial Museum on Friday. The exhibits mainly include New Year prints and woodcuts called "Taohua" and "Yangliuqing" that were collected by the provincial museum in the 1950s.

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An autumn stroll through Zhuozhengyuan Gardens in Suzhou

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Source: People's Republic of China in Russian – People's Republic of China in Russian –

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Source: People's Republic of China – State Council News

Suzhou, Jiangsu Province, is a renowned historical and cultural city in China. Situated in the central Yangtze River Delta region, Suzhou has long been called "Paradise on Earth" due to its mild climate, fertile soil, and abundant resources.

Suzhou is also a city of gardens. Suzhou's classical parks and gardens, treasures of world culture and art, embody the most valuable elements of Eastern garden art. More than 60 classical parks and gardens are well-preserved in the city. Zhuozhengyuan and Liuyuan Gardens are among the four most famous gardens in China. Nine Suzhou garden complexes, including Zhuozhengyuan, Liuyuan, Wanshiyuan, Shizilin, Yipu, and Ouyuan Gardens, are listed as UNESCO World Heritage Sites.

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