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nlin.SI2024
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…
nlin.PS2024★ 10 cited
Propagation of dark solitons of DNLS equation along a large-scale background
A. M. Kamchatnov, D. V. Shaykin
We study dynamics of dark solitons in the theory of the DNLS equation by the method based on imposing the condition that this dynamics must be Hamiltonian. Combining this condition…