Symbolic Computation Study of (2+1)-Dimensional Dispersive Long Wave Equations

被引：0

作者：

LU Zhuo-Sheng~(1

机构：

来源：

Communications in Theoretical Physics | 2006年 / 46卷 / 08期

基金：

中国博士后科学基金;

关键词：

dispersive long wave equations; symbolic computation; exact solution; localized structure;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法]; O175.2 [偏微分方程];

学科分类号：

0701 ; 070104 ;

摘要：

Seeking exact analytical solutions of nonlinear evolution equations is of fundamental importance in mathematical physics. In this paper, based on a constructive algorithm and symbolic computation, abundant new exact solutions of the (2+1)-dimensional dispersive long wave equations are obtained, among which there are soliton-like solutions, mult-soliton-like solutions and formal periodic solutions, etc. Certain special solutions are considered and some interesting localized structures are revealed.

引用

页码：199 / 202

页数：4

共 50 条

[31] A new general algebraic method with symbolic computation to construct new traveling solution for the (1+1)-dimensional dispersive long wave equation
Chen, Y
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2005, 16 (07): : 1107 - 1119
[32] Bcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation
秦渤
田播
刘立才
孟祥花
刘文军
CommunicationsinTheoreticalPhysics, 2010, 54 (12) : 1059 - 1066
[33] Symbolic computation and observable effect for the (2+1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas
Tian, B
Gao, YT
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (4-5) : 731 - 735
[34] Symbolic computation and new soliton-like solutions to the (2+1)-dimensional Toda lattice
Huang, Lan-Lan
Wu, Kai-Teng
Wu, Guo-Cheng
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 4 (03): : 310 - 316
[35] Comparison Differential Transformation Technique with Adomian Decomposition Method for Dispersive Long-wave Equations in (2+1)-Dimensions
Mohamed, M. A.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (01): : 148 - 166
[36] Constructing families of soliton-like solutions to a (2+1)-dimensional breaking soliton equation using symbolic computation
Yan, ZY
Zhang, HQ
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (10-11) : 1439 - 1444
[37] Symbolic Computation and q-Deformed Function Solutions of (2+1)-Dimensional Breaking Soliton Equation
CAO Li-Na School of Mathematics and Computer Science
CommunicationsinTheoreticalPhysics, 2007, 47 (02) : 270 - 274
[38] (2+1)-dimensional Broer–Kaup system of shallow water waves and similarity solutions with symbolic computation
Bo Tian
He Li
Yi-Tian Gao
Zeitschrift für angewandte Mathematik und Physik ZAMP, 2005, 56 : 783 - 790
[39] Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional breaking soliton equation
Chen, Y
Li, B
Zhang, HQ
COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 40 (02) : 137 - 142
[40] Symbolic computation and q-deformed function solutions of (2+1)-dimensional breaking soliton equation
Cao Li-Na
Wang Deng-Shan
Chen Lan-Xin
COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 47 (02) : 270 - 274

← 1 2 3 4 5 →