3 papers
nlin.PS2025
Theory of dispersive shock waves induced by the Raman effect in optical fibers
D. V. Shaykin, A. M. Kamchatnov
We develop the theory of dispersive shock waves in optical fibers for the case of long-distance propagation of optical pulses, when the small Raman effect stabilizes the profile of…
nlin.PS2025
Propagation of narrow and fast solitons through dispersive shock waves in hydrodynamics of simple waves
Shaykin Dmitriy
We study the propagation of narrow solitons through various profiles of dispersive shock waves (DSW) for the generalized Korteweg-de Vries equation. We consider situations in which…
nlin.PS2024
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…