SUPERPOSITION OF SOLITONS AND DISCRETE EVOLUTION-EQUATIONS

被引：11

作者：

CHOW, KW

机构：

[1] Department of Mathematics, University of Arizona, Tucson, AZ

来源：

PHYSICA SCRIPTA | 1994年 / 50卷 / 03期

关键词：

D O I：

10.1088/0031-8949/50/3/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equations are given in terms of theta functions. The dispersion relation is given in elegant, compact forms and the solutions consist of a sequence of solitons. A fully discrete or partial difference KdV equation is also treated. A new identity in theta function enables the elliptic function solution to be rewritten as a sum of solitons.

引用

页码：233 / 237

页数：5

共 12 条

[1]

Ablowitz M J., 1981, SOLITONS INVERSE SCA

[2] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS AND FOURIER-ANALYSIS [J].