Soliton solutions of the sine-Gordon equation on the half line

被引：5

作者：

Zhang, Cheng ^{[1
]}

Cheng, Qiang ^{[1
]}

Zhang, Da-jun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 86卷

关键词：

Solitons; Boundary-value problems; Sine-Gordon equation; Boundary bound states; Darboux transformation;

D O I：

10.1016/j.aml.2018.06.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a direct method for constructing soliton solutions of the sine-Gordon equation in the laboratory coordinates on the half line in the presence of integrable boundary conditions derived in Sklyanin's classical work (Sklyanin, 1987). Explicit examples, including boundary bound states, are presented. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：64 / 69

页数：6

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