The N-soliton solutions of the sine-Gordon equation with self-consistent sources

被引：73

作者：

Zhang, DJ ^{[1
]}

Chen, DY ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 321卷 / 3-4期

关键词：

sine-Gordon equation with self-consistent sources; Hirota method; Wronskian technique;

D O I：

10.1016/S0378-4371(02)01742-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The hierarchy of the sine-Gordon equation with self-consistent sources is derived by using the eigenfunctions of recursion operator. The bilinear form of the sine-Gordon equation with self-consistent sources is given and the N-soliton solutions are obtained through Hirota method and Wronskian technique, respectively. Some novel determinantal identities are presented to treat the nonlinear term in the time evolution and finish the Wronskian verifications. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：467 / 481

页数：15

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