Auto-Bäcklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev--Petviashvili Equation
LIU Jian-Guo, LI Ye-Zhou, WEI Guang-Mei
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
Department of Mathematics and LMIB, Beijing University of Aeronautics and Astronautics, Beijing 100083
Auto-Bäcklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev--Petviashvili Equation
LIU Jian-Guo;LI Ye-Zhou;WEI Guang-Mei
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
Department of Mathematics and LMIB, Beijing University of Aeronautics and Astronautics, Beijing 100083
Abstract： Using the truncated Painlevé expansion, an auto-Bäcklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev--Petviashvili (GKP) equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries (cKdV) equation, the cylindrical KP (cKP) equation and the generalized cKP (GcKP) equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.
(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
引用本文:
LIU Jian-Guo;LI Ye-Zhou;WEI Guang-Mei. Auto-Bäcklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev--Petviashvili Equation[J]. 中国物理快报, 2006, 23(7): 1670-1673.
LIU Jian-Guo, LI Ye-Zhou, WEI Guang-Mei. Auto-Bäcklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev--Petviashvili Equation. Chin. Phys. Lett., 2006, 23(7): 1670-1673.
2006, Vol. 23 
