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Weakly non-linear, slowly varying waves and their instabilities

Published online by Cambridge University Press:  24 October 2008

R. Grimshaw
R. Grimshaw
Affiliation:
University of Melbourne
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Abstract

A non-linear Klein–Gordon equation is used to discuss the theory of slowly varying, weakly non-linear wave trains. An averaged variational principle is used to obtain transport equations for the slow variations which incorporate the leading order modulation and non-linear terms. Linearized transport equations are used to discuss instabilities.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 72 , Issue 1 , July 1972 , pp. 95 - 104
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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