Dedicated to the 80th birthday of Academician Evgenii Alexandrovich Kuznetsov
On behalf of the Physical-Technical Institute of the Academy of Sciences of Uzbekistan, the Institute of Theoretical Physics of the National University of Uzbekistan, the Council of Physicists of Uzbekistan, the P.N. Lebedev Physical Institute of the Russian Academy of Sciences, and the Scientific Council "Nonlinear Dynamics" of the Russian Academy of Sciences, the Organizing Committee is pleased to announce the XII-th International Conference "Solitons, Collapses and Turbulence: Achievements, Developments and Perspectives" (SCT-2027).
The conference will be held at the Physical-Technical Institute in Tashkent, Uzbekistan, from 17 to 21 May 2027. The arrival day is 16 May and the departure day is 22 May 2027.
The meeting honours the 80th birthday of the distinguished theoretical physicist Evgenii Alexandrovich Kuznetsov, Academician of the Russian Academy of Sciences and principal researcher at the P. N. Lebedev Physical Institute. In 2012, jointly with G.M. Fraiman, he received the L.I. Mandelstam Prize of the Russian Academy of Sciences for the cycle of works “Wave collapses in plasma, optics and hydrodynamics”. In 2026 he was awarded the S. I. Vavilov Gold Medal of the Russian Academy of Sciences for the cycle “Nonlinear coherent structures: their formation and stability”.
Scientific contribution of Evgenii A. Kuznetsov
Academician Kuznetsov’s work has shaped nonlinear wave theory, plasma physics, hydrodynamics,
magnetohydrodynamics, integrable systems and turbulence. He got PhD under supervision of Professor
V.E. Zakharov (1973). The following summary is based on his principal achievements.
Together with V.E. Zakharov, he developed the Hamiltonian formalism for nonlinear waves and systems of hydrodynamic type, including a Hamiltonian description of magnetohydrodynamics.
He obtained anisotropic Kolmogorov spectra of weak turbulence for ion-acoustic waves in a strongly magnetized plasma.
Together with V.E. Zakharov, he found three-dimensional ion-acoustic solitons, derived the Zakharov-Kuznetsov (ZK) equation, and established the existence and Lyapunov stability of these solitons.
Together with M.D. Spector, he studied weakly supercritical convection, proved the stability of hexagonal Bénard cells, and gave an explanation of Bénard’s classical experiments.
Using the dressing method, he and A.V. Mikhailov proved the stability of cnoidal waves for the KdV equation and found exact travelling-dislocation solutions of a soliton lattice, now called breathers.
In 1977 Kuznetsov obtained exact breather solutions of the one-dimensional nonlinear Schrödinger equation. In the corresponding spectral picture, moving the spectral parameter to a branch point produces the Peregrine solution, while continuation along the cut yields the Akhmediev breather.
With M.D. Spector and G.E. Falkovich, he showed by the dressing method that the linear stability problem for solutions of integrable equations can be simplified substantially in comparison with direct linearisation.
Together with V.E. Zakharov and M.D. Spector, he found exact collapse-type solutions in free-surface hydrodynamics without capillarity or gravity: the surface remains smooth while its curvature becomes infinite.
With V.P. Ruban, he introduced a vortex-line representation for the three-dimensional Euler equations, constructed a model of integrable three-dimensional breaking of vortex lines.
Together with T. Passot and P.-L. Sulem, he developed the nonlinear theory of mirror instability in plasma.
He determined contributions of one- and two-dimensional singularities to turbulence spectra for water waves, acoustics and two-dimensional Euler hydrodynamics.
With D.S. Agafontsev and A.A. Mailybaev, he showed that the onset of developed hydrodynamic turbulence excites pancake-like vortex structures with a universal Kolmogorov-type relation between vorticity and pancake thickness.
This range of ideas provides the scientific focus of the anniversary meeting.
Conference profile
The International Conference “Solitons, Collapses and Turbulence” is a long-running meeting in nonlinear science, spanning both physics and mathematics. Its eleven previous editions were held in 1999, 2002, 2004, 2009, 2012, 2014 and 2017 in Chernogolovka; in 2007 in Novosibirsk; in 2019 in Yaroslavl; in 2023 in Rehovot; and in 2024 in Belgrade. SCT-2024 was dedicated to the memory of V. E. Zakharov.
The aim of SCT-2027 is to bring together physicists and mathematicians working in nonlinear science, including young researchers, to discuss achievements, current developments and future directions, and to strengthen links among the three broad themes of solitons, collapses and turbulence.
Conference Topics
The programme is expected to include, but will not be limited to:
• soliton theory, inverse scattering and exact solutions;
• integrable and nearly integrable models;
• wave collapse and singularity formation;
• weak and strong turbulence;
• nonlinear optics and laser physics;
• Bose–Einstein condensates;
• plasma physics and magnetohydrodynamics;
• hydrodynamics and vortex dynamics;
• solid-state physics;
• differential geometry, string theory and gravity;
• nonlinear dynamics and chaos;
• theory, experiment and industrial applications.
Participation and Format
The conference will be held in a hybrid format, with in-person and online participation. The working language is English. The program will include invited lectures, contributed talks and poster presentations.
Cultural Program
It is planned to have a tour to Samarkand city - a beautiful city with historical monuments and interesting places. A cost of the tour is about 100 USD. This includes train tickets to Samarkand and back, a lunch, tickets to places of attraction, and a guide service. If you plan to go to Samarkand, please point it out in the Registration Form.
