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

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

1994-04-21

arxiv.org/abs/patt-sol/9404004v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, LaTEX, version 2.09, submitted to Phys. Lett. A

Scientific paper

10.1016/0375-9601(94)90751-X

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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