Breather and soliton wave families for the sine-Gordon equation

被引：51

作者：

Vitanov, NK ^{[1
]}

机构：

[1] Univ Bayreuth, Inst Phys, D-95440 Bayreuth, Germany

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1998年 / 454卷 / 1977期

关键词：

sine-Gordon equation; Steuerwald-Lamb ansatz; Josephson junction; breathers; solitons;

D O I：

10.1098/rspa.1998.0264

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The approach of Steuerwald-Lamb for obtaining exact solutions of the sine-Gordon equation is further developed through transformations by means of which complicated solutions of the corresponding ODEs are obtained without any explicit integration. Polynomial and non-polynomial transformations are discussed and several of them are used to obtain breather and soliton solutions of the sine-Gordon equation. The obtained solutions are discussed from the point of view of the electrodynamics of the long Josephson junction.

引用

页码：2409 / 2423

页数：15

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