arXiv subjects

Ramil' F. Bikbaev

Publications and source records attributed to Ramil' F. Bikbaev.

2 recordsLinked to original sources

arXiv1994

Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation

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.

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arXiv1994

Whitham deformations partially saturating the modulational instability in the nonlinear Schrodinger equation

In the framework of Gurevich and Pitaevskii approach [1] we construct modulated by Whitham [2] solution of nonlinear Shrodinger (NS) equation partially saturating the modulational instability. This solution describes new scenario of monochromatic wave evolution in NS equation which leads to generation of new phase and oscillation region.

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