The generalized Wronskian solutions of a inverse KdV hierarchy

被引：3

作者：

Liu, YuQing ^{[1
,2
]}

Chen, DengYuan ^{[1
]}

Hu, Chao ^{[2
]}

机构：

[1] Shanghai Univ, Coll Sci, Shanghai 200444, Peoples R China

[2] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 05期

关键词：

Inverse KdV equation; Darboux-Crum theorem; Backlund transformation; Generalized Wronskian solutions; Soliton solutions; Rational solutions; CAMASSA-HOLM EQUATION; SELF-CONSISTENT SOURCES; N-SOLITON SOLUTIONS; DE-VRIES EQUATION; AKNS EQUATION; FORM;

D O I：

10.1016/j.amc.2011.07.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A hierarchy of the inverse KdV equation is discussed. Through the bilinear form of Lax pairs, we prove a generalized Darboux-Crum theorem of the hierarchy. The Backlund transformation and the generalized Wronskian solutions are presented. The soliton solutions, explicit rational solutions are obtained then. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2025 / 2035

页数：11

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