Variable separation solutions for the (2+1)-dimensional breaking soliton equation

被引：0

作者：

Hu, Ya-Hong

Lan, Jia-Cheng

Ma, Zheng-Yi ^{[1
]}

机构：

[1] Zhejiang Lishui Univ, Coll Math & Phys, Zhejiang Lishui 323000, Peoples R China

[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2006年 / 61卷 / 09期

关键词：

breaking soliton equation; projective Riccati equation; variable separation solution; soliton;

D O I：

暂无

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

With the variable separation approach and based on the general reduction theory, we successfully obtain the variable separation solutions for the (2+1)-dimensional breaking soliton equation using of the projective Riccati equation. Based on one of the variable separation solutions and by selecting appropriate functions, a new type of interaction between the multi-valued and the single-valued solitons, that is a compacton-like semi-foldon and a 4-compacton, is investigated.

引用

页码：423 / 429

页数：7

共 18 条

[1]

BOGOYAVLENSKII OI, 1990, USP MAT NAUK, V45, P17

[2] ON THE INTEGRABILITY OF SYSTEMS OF NONLINEAR ORDINARY DIFFERENTIAL-EQUATIONS WITH SUPERPOSITION PRINCIPLES [J].