Complexiton solutions to integrable equations
可精确求解与可积系统
2007-05-23 v2 斑图形成与孤子
摘要
Complexiton solutions (or complexitons for short) are exact solutions newly introduced to integrable equations. Starting with the solution classification for a linear differential equation, the Korteweg-de Vries equation and the Toda lattice equation are considered as examples to exhibit complexiton structures of nonlinear integrable equations. The crucial step in the solution process is to apply the Wronskian and Casoratian techniques for Hirota's bilinear equations. Correspondence between complexitons of the Korteweg-de Vries equation and complexitons of the Toda lattice equation is provided.
引用
@article{arxiv.nlin/0502035,
title = {Complexiton solutions to integrable equations},
author = {Wen-Xiu Ma},
journal= {arXiv preprint arXiv:nlin/0502035},
year = {2007}
}
备注
11 Pages, to appear in Nonlinear Analysis