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Nonlinear dispersion relation for nonlinear Schrödinger equation

Published online by Cambridge University Press:  13 March 2009

J. C. Bhakta
J. C. Bhakta
Affiliation:
Department of Mathematics, University of Chittagong, Bangladesh
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Abstract

By using the average-Lagrangian method (average variational principle), a nonlinear dispersion relation has been derived for the cubic nonlinear Schrödinger equation. It is found that the size of the instability region in wavenumber space decreases with increasing field amplitude in comparison with the linear theory.

Type
Research Article
Information
Journal of Plasma Physics , Volume 39 , Issue 2 , April 1988 , pp. 297 - 302
Copyright
Copyright © Cambridge University Press 1988

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References

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