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

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

2006-08-19

arxiv.org/abs/nlin/0608048v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, no figures (submitted to Physica D)

Scientific paper

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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