Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation
DENG Shu-Fang
Department of Mathematics, East China University of Science and Technology, Shanghai 200237
Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation
DENG Shu-Fang
Department of Mathematics, East China University of Science and Technology, Shanghai 200237
关键词 :
02.30.Ik ,
05.45.Yv
Abstract : The bilinear form for a nonisospectral and variable-coefficient Kadomtsev--Petviashvili equation is obtained and some exact soliton solutions are derived by the Hirota method and Wronskian technique. We also derive the bilinear Bäcklund transformation from its Lax pairs and find solutions with the help of the obtained bilinear Bäcklund transformation.
Key words :
02.30.Ik
05.45.Yv
出版日期: 2006-07-01
引用本文:
DENG Shu-Fang. Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation[J]. 中国物理快报, 2006, 23(7): 1662-1665.
DENG Shu-Fang. Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation. Chin. Phys. Lett., 2006, 23(7): 1662-1665.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2006/V23/I7/1662
[1]
HU Heng-Chun;ZHU Hai-Dong. New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation [J]. 中国物理快报, 2007, 24(1): 1-4.
[2]
CHENG Yong-Shan;GONG Rong-Zhou;LI Hong. Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential [J]. 中国物理快报, 2007, 24(1): 35-38.
[3]
ZHANG Da-Jun. Grammian Solutions to a Non-Isospectral Kadomtsev--Petviashvili Equation [J]. 中国物理快报, 2006, 23(9): 2349-2351.
[4]
WEN Zhen-Ying;ZHAO Hong;WANG Shun-Jin;ZHANG Xiu-Ming. Effect of Nonlinearity on Scattering Dynamics of Solitary Waves [J]. 中国物理快报, 2006, 23(8): 2034-2037.
[5]
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.
[6]
TANG Xiao-Yan;HUANG Fei;;LOU Sen-Yue;. Variable Coefficient KdV Equation and the Analytical Diagnoses of a Dipole Blocking Life Cycle [J]. 中国物理快报, 2006, 23(4): 887-890.
[7]
LOU Sen-Yue;LI Yi-Shen;. Exact Solutions of (2+1)-Dimensional Euler Equation Found by Weak Darboux Transformation [J]. 中国物理快报, 2006, 23(10): 2633-2636.
[8]
HUANG Ling. Rational Solutions in a Coupled Burgers System [J]. 中国物理快报, 2006, 23(1): 4-6.
[9]
ZHANG Jie-Fang;YANG Qin. Soliton Solutions in Bose--Einstein Condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential [J]. 中国物理快报, 2005, 22(8): 1855-1857.
[10]
WU Chen;QIAN Wei-Liang;SU Ru-Keng;. Improved Quark Mass Density-Dependent Model with Non-Linear Scalar Interaction [J]. 中国物理快报, 2005, 22(8): 1866-1869.
[11]
ZHANG Peng;MIAO Guo-Qing;HUANG Kai;YUN Yi;WEI Rong-Jue. Experimental Observation of Kink in a Perfect Bidimensional Granular System [J]. 中国物理快报, 2005, 22(8): 1961-1963.
[12]
M. Siddiq;M. Hassan. From Bäcklund Transformation to a Linear System of Sine-Gordon Theory in Superspace [J]. 中国物理快报, 2005, 22(7): 1567-1569.
[13]
QU Chang-Zheng; ZHANG Shun-Li. Group Foliation Method and Functional Separation of Variables to Nonlinear Diffusion Equations [J]. 中国物理快报, 2005, 22(7): 1563-1566.
[14]
JI Xue-Feng;ZHOU Zi-Xiang. Asymptotic Behaviour of Solitons with a Double Spectral Parameter for the Bogomolny Equation in (2+1)-Dimensional Anti de Sitter Space [J]. 中国物理快报, 2005, 22(7): 1570-1572.
[15]
WEN Zhen-Ying;ZHAO Hong. Different Types of Solitary Wave Scattering in the Fermi--Pasta--Ulam Model [J]. 中国物理快报, 2005, 22(6): 1339-1343.