Soliton asymptotics of solutions of the sine-gordon equation

被引：2

作者：

Kirsch W. ^{[1
]}

机构：

[1] Institute of Mathematics, Ruhr-University Bochum

来源：

Mathematical Physics, Analysis and Geometry | 1999年 / 2卷 / 1期

关键词：

Marchenko equation; Sine-gordon equation; Solitons;

D O I：

10.1023/A:1009870508971

中图分类号：

学科分类号：

摘要：

An asymptotic analysis of the Marchenko integral equation for the sine-Gordon equation is presented. The results are used for a construction of soliton asymptotics of decreasing and some non-decreasing solutions of the sine-Gordon equation. The soliton phases are shown to have an additional shift with respect to the reflectionless case caused by the non-zero reflection coefficient of the corresponding Dirac operator. Explicit formulas for the phases are also obtained. The results demonstrate an interesting phenomenon of splitting of non-decreasing solutions into an infinite series of asymptotic solitons. © 1999 Kluwer Academic Publishers.

引用

页码：25 / 51

页数：26

共 14 条

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