Some General Results for Multi-dimensional Compactonsin Generalized N-dimensional KdV Equations

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We derive a general theorem relating the energy and momentum with the velocity of any solitary wave solution of the generalized KdV equation in $N$-dimensions that follows from an action principle. Further, we show that our $N$-dimensional Lagrangian formulation leads to a subclass of the equations discussed recently by Rosenau, Hyman and Staley.
12 pages, no figures (submitted to Physica D)

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Exactly Solvable and Integrable Systems, Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/116732

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0608048
 http://arxiv.org/abs/nlin/0608048

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arXiv