On the decomposition of the modified Kadomtsev-Petviashvili equation and explicit solutions

Authors
Dai, HH Geng, XG
Citation
Hh. Dai et Xg. Geng, On the decomposition of the modified Kadomtsev-Petviashvili equation and explicit solutions, J MATH PHYS, 41(11), 2000, pp. 7501-7509
Citations number
22
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
11
Year of publication
2000
Pages
7501 - 7509
Database
ISI
SICI code
0022-2488(200011)41:11<7501:OTDOTM>2.0.ZU;2-5
Abstract
The (2+1)-dimensional modified Kadomtsev-Petviashvili equation is decompose d into two known (1+1)-dimensional soliton equations. A Darboux transformat ion of the two known (1+1)-dimensional soliton equations is derived with th e help of a gauge transformation of the spectral problem. As an application , explicit solutions of the two (1+1)-dimensional soliton equations and two new explicit solutions of the (2+1)-dimensional modified Kadomtsev-Petvias hvili equation are obtained. (C) 2000 American Institute of Physics. [S0022 -2488(00)02209-X].