An averaged Lagrangian method for dissipative wavetrains
- 25 May 1976
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 349 (1658) , 277-287
- https://doi.org/10.1098/rspa.1976.0073
Abstract
We modify the averaged Lagrangian method for analysing slowly varying nonlinear wavetrains to include cases with small dissipation. To do this, we use a pseudo-variational principle introduced by Prigogine in which the Lagrangian depends on a function to be varied and the solution of the problem; this can be used to describe irreversible processes. Examples of applications to both ordinary and partial differential equations are presented.Keywords
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