Explicit solutions for some (2+1)-dimensional nonlinear evolution equations

Authors
Geng, XG Li, XM
Citation
Xg. Geng et Xm. Li, Explicit solutions for some (2+1)-dimensional nonlinear evolution equations, J PHYS A, 34(45), 2001, pp. 9653-9661
Citations number
29
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
45
Year of publication
2001
Pages
9653 - 9661
Database
ISI
SICI code
0305-4470(20011116)34:45<9653:ESFS(N>2.0.ZU;2-X
Abstract
Some (2 + 1)-dimensional nonlinear evolution equations, including the Kadom tsev-Petviashvili II (KPII) equation and the modified Kadomtsev-Petviashvil i (KP) equation, are decomposed into two (1 + 1)-dimensional soliton system s in the coupled KdV hierarchy. With the help of the decomposition and the Darboux transformation, some explicit solutions of these (2+1)-dimensional nonlinear evolution equations such as new soliton solutions of the KPII equ ation and the modified KPII equation are obtained.