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Transverse instability of soliton solutions to nonlinear Schrödinger equations

Published online by Cambridge University Press:  13 March 2009

D. Anderson ,
A. Bondeson  and
M. Lisak
D. Anderson
Affiliation:
Institute for Electromagnetic Field Theoryand EURATOM-FUSION Research (EVR-NE), Chalmers University of Technology, S-402 20 Göteborg, Sweden
A. Bondeson
Affiliation:
Institute for Electromagnetic Field Theoryand EURATOM-FUSION Research (EVR-NE), Chalmers University of Technology, S-402 20 Göteborg, Sweden
M. Lisak
Affiliation:
Institute for Electromagnetic Field Theoryand EURATOM-FUSION Research (EVR-NE), Chalmers University of Technology, S-402 20 Göteborg, Sweden
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Abstract

An inverstigation is made of the transverse instability of plane soliton solutions of the nonlinear Schrödinger equation, including the case of an exponential nonlinearity. The analysis is based on a variational method, where specific trial functions are applied for the perturbations. Explicit expressions for the growth rates are given, showing good agreement with numerical results.

Type
Research Article
Information
Journal of Plasma Physics , Volume 21 , Issue 2 , April 1979 , pp. 259 - 266
Copyright
Copyright © Cambridge University Press 1979

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References

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