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

Ramil' F. Bikbaev·Vadim R. Kudashev
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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.

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Ramil' F. Bikbaev, Vadim R. Kudashev. 1994-04-21. Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation. https://doi.org/10.1016/0375-9601(94)90751-x

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