SUPERPOSITION OF SOLITONS AND DISCRETE EVOLUTION-EQUATIONS

Authors
CHOW KW
Citation
Kw. Chow, SUPERPOSITION OF SOLITONS AND DISCRETE EVOLUTION-EQUATIONS, Physica scripta. T, 50(3), 1994, pp. 233-237
Citations number
12
Categorie Soggetti
Physics
Journal title
Physica scripta. T → ACNP
ISSN journal
02811847
Volume
50
Issue
3
Year of publication
1994
Pages
233 - 237
Database
ISI
SICI code
0281-1847(1994)50:3<233:SOSADE>2.0.ZU;2-K
Abstract
Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equations are given in terms of theta functio ns. The dispersion relation is given in elegant, compact forms and the solutions consist of a sequence of solitons. A fully discrete or part ial difference KdV equation is also treated. A new identity in theta f unction enables the elliptic function solution to be rewritten as a su m of solitons.