Some General Results for Multi-dimensional Compactonsin Generalized N-dimensional KdV Equations
可精确求解与可积系统
2007-05-23 v1 斑图形成与孤子
摘要
We derive a general theorem relating the energy and momentum with the velocity of any solitary wave solution of the generalized KdV equation in -dimensions that follows from an action principle. Further, we show that our -dimensional Lagrangian formulation leads to a subclass of the equations discussed recently by Rosenau, Hyman and Staley.
引用
@article{arxiv.nlin/0608048,
title = {Some General Results for Multi-dimensional Compactonsin Generalized N-dimensional KdV Equations},
author = {Fred Cooper and Avinash Khare and Avadh Saxena},
journal= {arXiv preprint arXiv:nlin/0608048},
year = {2007}
}
备注
12 pages, no figures (submitted to Physica D)