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

页码：184 / 190

页数：7

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