167 citations · 1.8k across the 47 of their papers we have counts for
6 papers · 1 filter
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…
Dispersionless evolution of inviscid nonlinear pulses
M. Isoard, N. Pavloff, A. M. Kamchatnov
We consider the one-dimensional dynamics of nonlinear non-dispersive waves. The problem can be mapped onto a linear one by means of the hodograph transform. We propose an approxima…
Short-distance propagation of nonlinear optical pulses
M. Isoard, A. M. Kamchatnov, N. Pavloff
We theoretically describe the quasi one-dimensional transverse spreading of a light pulse propagating in a defocusing nonlinear optical material in the presence of a uniform backgr…
Wave breaking and formation of dispersive shock waves in a defocusing nonlinear optical material
M. Isoard, A. M. Kamchatnov, N. Pavloff
We theoretically describe the quasi one-dimensional transverse spreading of a light pulse propagating in a nonlinear optical material in the presence of a uniform background light…
Long-time evolution of pulses in the Korteweg-de Vries equation in the absence of solitons revisited: Whitham method
M. Isoard, A. M. Kamchatnov, N. Pavloff
We consider the long-time evolution of pulses in the Korteweg-de Vries equation theory for initial distributions which produce no soliton, but instead lead to the formation of a di…
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…