Solitary wave fission and fusion in the (2+1)-dimensional generalized Broer-Kaup system

被引：8

作者：

Dai, Chaoqing ^{[1
]}

Liu, Cuiyun ^{[1
]}

机构：

[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2012年 / 17卷 / 03期

基金：

中国国家自然科学基金;

关键词：

variable separation solution; solitary wave fission and fusion; (2+1)-dimensional generalized Broer-Kaup system; VARIABLE SEPARATION SOLUTIONS; NONLINEAR SCHRODINGER-EQUATION; NOVIKOV-VESELOV SYSTEM; BURGERS-EQUATION; SOLITONS; COEFFICIENTS; EXCITATIONS; BEHAVIORS;

D O I：

10.15388/NA.17.3.14055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Via a special Painleve-Backlund transformation and the linear superposition theorem, we derive the general variable separation solution of the (2 + 1)-dimensional generalized Broer-Kaup system. Based on the general variable separation solution and choosing some suitable variable separated functions, new types of V-shaped and A-shaped solitary wave fusion and Y-shaped solitary wave fission phenomena are reported.

引用

页码：271 / 279

页数：9

共 31 条

[1] New soliton structures in the (2+1)-dimensional higher order Broer-Kaup system [J].

Bai, CL ;

Zhao, H .

PHYSICA SCRIPTA, 2006, 73 (05) :429-435

[2] New types of interactions based on variable separation solutions via the general projective Riccati equation method [J].

Dai, Chao-Qing ;

Zhang, Jie-Fang .

REVIEWS IN MATHEMATICAL PHYSICS, 2007, 19 (02) :195-226

[3]

Dai CQ, 2007, CHINESE PHYS, V16, P1201, DOI 10.1088/1009-1963/16/5/005

[4] Exotic localized structures based on variable separation solution of the (2+1)-dimensional Kortweg-de Vries equation [J].

Dai, Chao-Qing .

PHYSICA SCRIPTA, 2007, 75 (03) :310-315

[5] Solitons with fusion and fission properties in the (2+1)-dimensional modified dispersive water-wave system [J].

Dai, Chao-Qing ;

Chen, Rui-Pin .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2006, 61 (7-8) :307-315

[6]

Dai CQ, 2006, COMMUN THEOR PHYS, V46, P389

[7] Exact travelling wave solutions of the discrete nonlinear Schrodinger equation and the hybrid lattice equation obtained via the exp-function method [J].

Dai, Chao-Qing ;

Wang, Yue-Yue .

PHYSICA SCRIPTA, 2008, 78 (01)

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

Dai, Chaoqing .

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

[9] 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

[10] Novel types of interactions between solitons in the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system [J].

Dai, Chaoqing ;

Liu, Fengqin ;

Zhang, Jiefang .

CHAOS SOLITONS & FRACTALS, 2008, 36 (02) :437-445

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