Some General Results for Multi-dimensional Compactons in Generalized N -dimensional KdV Equations
نویسندگان
چکیده
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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