Non-completely elastic interactions in a (2+1)-dimensional dispersive long wave equation

被引：9

作者：

Chen Wei-Lu ^{[1
]}

Zhang Wen-Ting ^{[1
]}

Zhang Li-Pu ^{[1
]}

Dai Chao-Qing ^{[1
]}

机构：

[1] Zhejiang Agr & Forestry Univ, Sch Sci, Linan 311300, Peoples R China

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 11期

基金：

中国国家自然科学基金;

关键词：

modified mapping method; dispersive long wave equation; variable separation solution; exotic interaction between special solitons; FRACTAL STRUCTURES; EXCITATIONS; SOLITONS;

D O I：

10.1088/1674-1056/21/11/110507

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the help of a modified mapping method, we obtain two kinds of variable separation solutions with two arbitrary functions for the (2+1)-dimensional dispersive long wave equation. When selecting appropriate multi-valued functions in the variable separation solution, we investigate the interactions among special multi-dromions, dromion-like multi-peakons, and dromion-like multi-semifoldons, which all demonstrate non-completely elastic properties.

引用

页数：5

共 18 条

[1] SPECTRAL TRANSFORM FOR A 2-SPATIAL DIMENSION EXTENSION OF THE DISPERSIVE LONG-WAVE EQUATION [J].

BOITI, M ;

LEON, JJP ;

PEMPINELLI, F .

INVERSE PROBLEMS, 1987, 3 (03) :371-387

[2] Semifoldons with fusion and fission properties of (2+1)-dimensional nonlinear system [J].

Dai, Chaoqing .

CHAOS SOLITONS & FRACTALS, 2008, 38 (02) :474-480

[3] Novel interactions between solitons of the (2+1)-dimensional dispersive long wave equation [J].

Dai, Chaoqing ;

Ni, Yongzhou .

CHAOS SOLITONS & FRACTALS, 2008, 37 (01) :269-277

[4] A novel algebraic procedure for solving non-linear evolution equations of higher order [J].

Huber, Alfred .

CHAOS SOLITONS & FRACTALS, 2007, 34 (03) :765-776

[5] Preparation and characterization of magnetic nanoparticles of Fe3 O4 coated with mesoporous SiO2 [J].

Lei Jie-Mei ;

Lue Liu ;

Liu Ling ;

Xu Xiao-Liang .

ACTA PHYSICA SINICA, 2011, 60 (01)

[6] Complex wave excitations and chaotic patterns for a general (2+1)-dimensional Korteweg-de Vries system [J].

Ma Song-Hua ;

Fang Jian-Ping ;

Zheng Chun-Long .

CHINESE PHYSICS B, 2008, 17 (08) :2767-2773

[7] The interaction between solitons and chaotic behaviours of (2+1)-dimensional Boiti-Leon-Pempinelli system [J].

Ma Song-Hua ;

Qiang Ji-Ye ;

Fang Jian-Ping .

ACTA PHYSICA SINICA, 2007, 56 (02) :620-626

[8]

Ma SH, 2009, COMMUN THEOR PHYS, V52, P641, DOI 10.1088/0253-6102/52/4/18

[9] The projective Riccati equation expansion method and variable separation solutions for the nonlinear physical differential equation in physics [J].

Ma Zheng-Yi .

CHINESE PHYSICS, 2007, 16 (07) :1848-1854

[10] Two classes of fractal structures for the (2+1)-dimensional dispersive long wave equation [J].

Ma, ZY ;

Zheng, CL .

CHINESE PHYSICS, 2006, 15 (01) :45-52

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