39 citations · 39 across the 4 of their papers we have counts for
4 papers
Asymptotic integrability and its consequences
A. M. Kamchatnov
We give a brief review of the concept of asymptotic integrability, which means that the Hamilton equations for the propagation of short-wavelength packets along a smooth, large-sca…
Asymptotic integrability and Hamilton theory of soliton's motion along large-scale background waves
A. M. Kamchatnov
We consider the problem of soliton-mean field interaction for the class of asymptotically integrable equations, where the notion of the asymptotic integrability means that the Hami…
Hamiltonian mechanics of "magnetic'' solitons in two-component Bose-Einstein condensates
A. M. Kamchatnov
We consider motion of a "magnetic'' soliton in two-component condensates along a non-uniform and time-dependent backgrounds in framework of the Hamiltonian mechanics. Our approach…
Gurevich-Pitaevskii problem and its development
A. M. Kamchatnov
We present an introduction to the theory of dispersive shock waves in the framework of the approach proposed by Gurevich and Pitaevskii (Zh. Eksp. Teor. Fiz., 65, 590 (1973) [Sov.…