2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116732We 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)Exactly Solvable and Integrable SystemsPattern Formation and Solitonstext