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

Fred Cooper·Avinash Khare·Avadh Saxena
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Abstract

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.

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Fred Cooper, Avinash Khare, Avadh Saxena. 2006-08-19. Some General Results for Multi-dimensional Compactonsin Generalized N-dimensional KdV Equations. https://arxiv.org/abs/nlin/0608048

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