On exact N-loop soliton solution to nonlinear coupled dispersionless evolution equations

被引：30

作者：

Kuetche, V. K. ^{[1
]}

Bouetou, T. B. ^{[2
,3
]}

Kofane, T. C. ^{[1
,3
]}

机构：

[1] Univ Yaounde 1, Dept Phys, Fac Sci, Yaounde, Cameroon

[2] Univ Yaounde 1, Ecole Natl Super Polytech, Yaounde, Cameroon

[3] Abdus Salam Int Ctr Theoret Phys, IT-34014 Strada Costiera, Tieste, Italy

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 05期

关键词：

coupled dispersionless equations; Schafer-Wayne short pulse equation;

D O I：

10.1016/j.physleta.2007.08.023

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate some nonlinear coupled dispersionless evolution equations (NLCDEE) modelling the dynamics of a current-fed string within an external magnetic field in 2D-space. Using a blend of transformations of independent variables, we derive from the previous equations a Schafer-Wayne short pulse equation (SWSPE). By means of a transformation back to the original independent variables, we find the N-loop soliton solution to the coupled equations. We give some detail on the scattering behavior of two-loop solitons. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：665 / 669

页数：5