The N-soliton solutions for the modified KdV equation with self-consistent sources

被引：95
|
作者：
Zhang, DJ [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2002年 / 71卷 / 11期
关键词：
modified KdV equation with self consistent sources; Hirota's method; Wronskian technique; uniformity;
D O I：
10.1143/JPSJ.71.2649
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The N-soliton solutions for the modified KdV equation with self-consistent sources are obtained through Hirota's 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. The uniformity of these two kinds of N-soliton solutions is proved.
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页码：2649 / 2656
页数：8
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