Multisoliton solutions of a (2+1)-dimensional variable-coefficient Toda lattice equation via Hirota's bilinear method

被引：15
|
作者：
Zhang, Sheng [1 ]
Liu, Dong [1 ]
机构：
[1] Bohai Univ, Dept Math, Jinzhou 121000, Peoples R China
来源：
CANADIAN JOURNAL OF PHYSICS | 2014年 / 92卷 / 03期
关键词：
DE-VRIES EQUATION; EXP-FUNCTION METHOD; SOLITON-SOLUTIONS; BACKLUND-TRANSFORMATIONS; WAVE SOLUTIONS; MULTIPLE COLLISIONS; KORTEWEG-DEVRIES; FORM;
D O I：
10.1139/cjp-2013-0341
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, Hirota's bilinear method is extended to construct multisoliton solutions of a (2+1)-dimensional variable-coefficient Toda lattice equation. As a result, new and more general one-soliton, two-soliton, and three-soliton solutions are obtained, from which the uniform formula of the N-soliton solution is derived. It is shown that Hirota's bilinear method can be used for constructing multisoliton solutions of some other nonlinear differential-difference equations with variable coefficients.
引用
收藏
页码：184 / 190
页数：7
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