8 citations · 11 across the 5 of their papers we have counts for
5 papers
Linearly Degenerate Hamiltonian PDEs and a New Class of Solutions to the WDVV Associativity Equations
B. A. Dubrovin, M. V. Pavlov, S. A. Zykov
We define a new class of solutions to the WDVV associativity equations. This class is determined by the property that one of the commuting PDEs associated with such a WDVV solution…
Lagrangian and Hamiltonian Structures for the Constant Astigmatism Equation
Maxim V. Pavlov, Sergej A. Zykov
In this paper we found a Lagrangian representation and corresponding Hamiltonian structure for the constant astigmatism equation. Utilizing this Hamiltonian structure and extra con…
Waves in the Skyrme--Faddeev model and integrable reductions
L. Martina, M. V. Pavlov, S. A. Zykov
In the present article we show that the Skyrme--Faddeev model possesses nonlinear wave solutions, which can be expressed in terms of elliptic functions. The Whitham averaging metho…
Classification of conservative hydrodynamic chains. Vlasov type kinetic equation, Riemann mapping and the method of symmetric hydrodynamic reductions
Maxim V. Pavlov, Sergej A. Zykov
A complete classification of integrable conservative hydrodynamic chains is presented. These hydrodynamic chains are written via special coordinates -- moments, such that right han…
Kinetic equation for a soliton gas and its hydrodynamic reductions
G. A. El, A. M. Kamchatnov, M. V. Pavlov +1
We introduce and study a new class of kinetic equations, which arise in the description of nonequilibrium macroscopic dynamics of soliton gases with elastic collisions between soli…