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

共 23 条

[1]

Anderson R., 1979, SIAM STUD APPL MATH

[2]

[Anonymous], 1962, Introduction to Nonlinear and Differential Integral Equations

[3] The bi-Hamiltonian structure of the short pulse equation [J].

Brunelli, J. C. .

PHYSICS LETTERS A, 2006, 353 (06) :475-478

[4] The short pulse hierarchy [J].

Brunelli, JC .

JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (12)

[5]

FOKAS AS, 1983, LECT NOTES PHYS

[6] SYMPLECTIC STRUCTURES, THEIR BACKLUND-TRANSFORMATIONS AND HEREDITARY SYMMETRIES [J].

FUCHSSTEINER, B ;

FOKAS, AS .

PHYSICA D, 1981, 4 (01) :47-66

[7]

HERMANN R, 1976, GEOMETRY NONLINEAR D

[8] Loop soliton solutions of string interacting with external field [J].

Kakuhata, H ;

Konno, K .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (03) :757-762

[9]

KAKUHATA H, 1997, J PHYS A, V301, pL401

[10] INTERACTION AMONG GROWING, DECAYING AND STATIONARY SOLITONS FOR COUPLED INTEGRABLE DISPERSIONLESS EQUATIONS [J].

KONNO, K ;

KAKUHATA, H .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1995, 64 (08) :2707-2709

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