Solitons, Backlund transformation, and Lax pair for the, (2+1)-dimensional Boiti-Leon-Pempinelli equation for the water waves

被引：39

作者：

Jiang, Yan ^{[1
]}

Tian, Bo ^{[1
,2
,3
]}

Liu, Wen-Jun ^{[1
]}

Li, Min ^{[1
]}

Wang, Pan ^{[1
]}

Sun, Kun ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China

[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Informat Photon & Opt Commun BUPT, Beijing 100876, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Bell theorem; partial differential equations; solitons; NONLINEAR SCHRODINGER MODEL; VARIANT BOUSSINESQ MODEL; OPTICAL-FIBERS; SYMBOLIC-COMPUTATION; EVOLUTION; PLASMA; FORM; RESONANCE; BRIGHTONS; SYSTEMS;

D O I：

10.1063/1.3489865

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Under investigation in this paper is the (2+1)-dimensional Boiti-Leon-Pempinelli (BLP) equation for the water waves. By virtue of the binary Bell polynomials and symbolic computation, the bilinear form for the BLP equation is obtained. Furthermore, soliton solutions are presented, and soliton interaction properties including the elastic, inelastic, and elastic-inelastic collisions are discussed by the graphical analysis. Besides, the Baumlcklund transformation in the form of the binary Bell polynomials is derived. Via the Baumlcklund transformation, the shock-wave solutions and Lax pair are both constructed. (C) 2010 American Institute of Physics. [doi:10.1063/1.3489865]

引用

页数：11

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