Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation
patt-sol
2009-10-28 v1 Pattern Formation and Solitons
Abstract
Dissipationless shock waves in modulational unstable one-dimensional medium are investigated on the simplest example of integrable focusing nonlinear Schr\''odinger (NS) equation. Our approach is based on the construction of special exact solution of the Whitham-NS system, which ''partially saturates'' the modulational instability.
Keywords
Cite
@article{arxiv.patt-sol/9404004,
title = {Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation},
author = {Ramil' F. Bikbaev and Vadim R. Kudashev},
journal= {arXiv preprint arXiv:patt-sol/9404004},
year = {2009}
}
Comments
4 pages, LaTEX, version 2.09, submitted to Phys. Lett. A