265 citations · 1.2k across the 38 of their papers we have counts for
10 papers · 1 filter
Motion of dark solitons in a non-uniform flow of Bose-Einstein condensate
S. K. Ivanov, A. M. Kamchatnov
We study motion of dark solitons in a non-uniform one-dimensional flow of Bose-Einstein condensate. Our approach is based on Hamiltonian mechanics applied to the particle-like beha…
Trigonometric shock waves for the Kaup-Boussinesq system
Sergey K. Ivanov, Anatoly M. Kamchatnov
We consider the modulationally stable version of the Kaup-Boussinesq system which models propagation of nonlinear waves in various physical systems. It is shown that the Whitham mo…
Topological dipole Floquet solitons
Sergey K. Ivanov, Yaroslav V. Kartashov, Matthias Heinrich +3
We theoretically introduce a new type of topological dipole solitons propagating in a Floquet topological insulator based on a kagome array of helical waveguides. Such solitons bif…
Plasma slab expansion into vacuum
S. K. Ivanov, A. M. Kamchatnov
The problem of collisionless plasma slab expansion into vacuum is solved within a two-temperature hydrodynamic approximation in the dispersionless limit of zero Debye radius. In th…
Formation of dispersive shock waves in a saturable nonlinear medium
Sergey K. Ivanov, Jules-Elemir Suchorski, Anatoly M. Kamchatnov +2
We use the Gurevich-Pitaevskii approach based on the Whitham averaging method for studying the formation of dispersive shock waves in an intense light pulse propagating through a s…
Riemann problem for the light pulses in optical fibers for the generalized Chen-Lee-Liu equation
Sergey K. Ivanov
We provide the classification of possible wave structures evolving from initially discontinuous profiles for the photon fluid propagating in a normal dispersion fiber. The dynamics…
Evolution of intensive light pulses in a nonlinear medium with the Raman effect
S. K. Ivanov, A. M. Kamchatnov
In this paper, we study the evolution of intensive light pulses in nonlinear single-mode fibers. The dynamics of light in such fibers is described by the nonlinear Schrödinger equa…
Evolution of wave pulses in fully nonlinear shallow-water theory
S. K. Ivanov, A. M. Kamchatnov
We consider evolution of wave pulses with formation of dispersive shock waves in framework of fully nonlinear shallow-water equations. Situations of initial elevations or initial d…
Riemann problem for the photon fluid: self-steepening effects
S. K. Ivanov, A. M. Kamchatnov
We consider the Riemann problem of evolution of initial discontinuities for the photon fluid propagating in a normal dispersion fiber with account of self-steepening effects. The d…
Evolution of initial discontinuities in the Riemann problem for the Kaup-Boussinesq equation with positive dispersion
T. Congy, S. K. Ivanov, A. M. Kamchatnov +1
We consider the space-time evolution of initial discontinuities of depth and flow velocity for an integrable version of the shallow water Boussinesq system introduced by Kaup. We f…