Some new exact solutions of the Jacobi elliptic functions of NLS equation

被引：9

作者：

Lun-Xun, Gong ^{[1
]}

机构：

[1] Guizhou Normal Univ, Sch Sci, Guiyang 550001, Peoples R China

来源：

ACTA PHYSICA SINICA | 2006年 / 55卷 / 09期

关键词：

Jacobi elliptic functions; NLS equation; modified mapping method; traveling wave solutions;

D O I：

10.7498/aps.55.4414

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New exact solutions in terms of the Jacobi elliptic functions are obtained for the nonlinear Schrodinger (NLS) equation by means of modified mapping method.

引用

页码：4414 / 4419

页数：6

共 20 条

[1] A new method to construct solutions to nonlinear wave equations [J].

Fu, ZT ;

Liu, SK ;

Liu, SD .

ACTA PHYSICA SINICA, 2004, 53 (02) :343-348

[2] New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations [J].

Fu, ZT ;

Liu, SK ;

Liu, SD ;

Zhao, Q .

PHYSICS LETTERS A, 2001, 290 (1-2) :72-76

[3]

GARDNER CS, 1967, PHYS REV LETT, V19, P1095, DOI DOI 10.1103/PHYSREVLETT.19.1095

[4] EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS [J].

HIROTA, R .

PHYSICAL REVIEW LETTERS, 1971, 27 (18) :1192-+

[5]

Li HM, 2005, CHINESE PHYS, V14, P251, DOI 10.1088/1009-1963/14/2/006

[6] Mapping deformation method and its application to nonlinear equations [J].

Li, HM .

CHINESE PHYSICS, 2002, 11 (11) :1111-1114

[7] The envelope periodic solutions to nonlinear wave equations with Jacobi elliptic function [J].

Liu, SD ;

Fu, ZT ;

Liu, SK ;

Zhao, Q .

ACTA PHYSICA SINICA, 2002, 51 (04) :718-722

[8] Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations [J].

Liu, SK ;

Fu, ZT ;

Liu, SD ;

Zhao, Q .

PHYSICS LETTERS A, 2001, 289 (1-2) :69-74

[9] Jacobi elliptic function expansion solution to the variable coefficient nonlinear equations [J].

Liu, SK ;

Fu, ZT ;

Liu, SD ;

Zhao, Q .

ACTA PHYSICA SINICA, 2002, 51 (09) :1923-1926

[10]

LIU SS, 2000, NONLINEAR EQUATIONS

← 1 2 →