Variational method: How it can generate false instabilities
- 1 July 1996
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 37 (7) , 3442-3462
- https://doi.org/10.1063/1.531574
Abstract
When the variational method is applied to nonlinear evolution equations for determining solitary wave dynamics, it is possible for the method to predict the pulse to be unstable when in fact it is stable. We determine the necessary conditions for this to occur as well as give sufficient conditions for avoiding such false instabilities. We also discuss the general problem of applying the method to a general evolution equation.Keywords
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