A series of soliton-like and double-like periodic solutions of a (2+1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equation

被引：0

作者：

Chen, Y ^{[1
]}

Wang, Q

Li, B

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China

[4] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2004年 / 42卷 / 05期

关键词：

symbolic computation; soliton-like solution; Weierstrass and Jacobi elliptic functions; periodic solution;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We generalize the algebraic method presented by Fan [J. Phys. A: Math. Gen. 36 (2003) 7009)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations (NPDE). As an application of the method, we choose a,(2+1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equation and successfully construct new and more general solutions including a series of nontraveling wave and coefficient functions' soliton-like solutions, double-like periodic and trigonometric-like function solutions.

引用

页码：655 / 660

页数：6

共 26 条

[1] ON THE SPECTRAL TRANSFORM OF A KORTEWEG-DEVRIES EQUATION IN 2 SPATIAL DIMENSIONS [J].