Negaton and complexiton solutions of sine-Gordon equation

被引：6

作者：

Wu, Hongxia ^{[1
]}

Fan, Tianyou

机构：

[1] Beijing Inst Technol, Sch Sci, Dept Math, Beijing 100081, Peoples R China

[2] Jimei Univ, Sch Sci, Dept Math, Xiamen 361021, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2007年 / 379卷 / 02期

关键词：

negaton; complexiton; positon; Darboux transformation; sine-Gordon equation;

D O I：

10.1016/j.physa.2007.01.016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The negaton and complexiton solutions are introduced for the sine-Gordon equation by means of the Darboux transformation (DT). The mutual interactions of multinegaton and interactions of negaton-soliton and negaton-positon are discussed in detail. The superposition formulae for negations and complexiton are constructed. Noticing the relation of the sine-Gordon equation and the sinh-Gordon equation, we also obtain the real-valued singular negaton and complexiton solution for the sinh-Gordon equation. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：471 / 482

页数：12

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