INTEGRABLE SEMI-DISCRETIZATION OF THE COUPLED MODIFIED KDV EQUATIONS

Authors
TSUCHIDA T UJINO H WADATI M
Citation
T. Tsuchida et al., INTEGRABLE SEMI-DISCRETIZATION OF THE COUPLED MODIFIED KDV EQUATIONS, Journal of mathematical physics, 39(9), 1998, pp. 4785-4813
Citations number
29
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
39
Issue
9
Year of publication
1998
Pages
4785 - 4813
Database
ISI
SICI code
0022-2488(1998)39:9<4785:ISOTCM>2.0.ZU;2-A
Abstract
The discrete version of the inverse scattering method proposed by Ablo witz and Ladik is extended to solve multi-component systems. The exten sion enables one to solve the initial value problem, which proves dire ctly the complete integrability of a semi-discrete version of the coup led modified Korteweg-de Vries (KdV) equations and their hierarchy. It also provides a procedure to obtain conservation laws and multi-solit on solutions of the hierarchy. (C) 1998 American Institute of Physics.