12 citations · 34 across the 10 of their papers we have counts for
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Asymptotic integrability of nonlinear wave equations
A. M. Kamchatnov
We introduce the notion of asymptotic integrability into the theory of nonlinear wave equations. It means that the Hamiltonian structure of equations describing propagation of high…
Quasiclassical integrability condition in AKNS scheme
A. M. Kamchatnov, D. V. Shaykin
In this paper, we study the condition of quasiclassical integrability of soliton equations. This condition states that the Hamiltonian structure of equations, which govern propagat…
On periodic solutions and their modulations for the Manakov system
A. M. Kamchatnov
Periodic solutions of the Manakov system are studied with the aim to establish links between recent results of Wright (Physica D 2013 {\bf 264} 1) and Kamchatnov (EPL 2013 \textbf{…
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…