61 citations · 124 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Propagation of generalized Korteweg-de Vries solitons along large-scale waves
A. M. Kamchatnov, D. V. Shaykin
We consider propagation of solitons along large scale background waves in the generalized Korteweg-de Vries (gKdV) equation theory when the width of the soliton is mach smaller tha…
Propagation of wave packets along large-scale background waves
D. V. Shaykin, A. M. Kamchatnov
We study propagation of high-frequency wave packets along a large-scale background wave which evolves according to dispersionless hydrodynamic equations for two variables (fluid de…
Dynamics of Interaction of Two Soliton Clouds
A. M. Kamchatnov, D. V. Shaykin
On the basis of relationship between the kinetic equation for two soliton clouds in the theory of the Korteweg-de Vries equation and equations of the Chaplygin gas dynamics it is s…
Propagation of wave packets along intensive simple waves
A. M. Kamchatnov, D. V. Shaykin
We consider propagation of high-frequency wave packets along a smooth evolving background flow whose evolution is described by a simple-wave type of solutions of hydrodynamic equat…