Multi-soliton and Pfaffian solutions of a (2+1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy

被引：3
作者：
Meng, Gao-Qing [1 ,2 ,3 ]
Gao, Yi-Tian [1 ,2 ,4 ]
Yu, Xin [1 ,2 ]
Qin, Yi [1 ,2 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Minist Educ Key Lab Fluid Mech, Beijing 100191, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China
[3] N China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
[4] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 22期
基金：
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词：
Jaulent-Miodek hierarchy; Bilinear form; Soliton interaction; N-soliton solution; Pfaffian; Symbolic computation; COMPACTON-LIKE SOLUTION; N-SOLITON SOLUTIONS; DARBOUX TRANSFORMATIONS; KP EQUATION; BACKLUND-TRANSFORMATIONS; SCHRODINGER-EQUATION; PAINLEVE ANALYSIS; SHALLOW-WATER; CONSTRUCTION; REDUCTIONS;
D O I：
10.1016/j.amc.2012.03.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under investigation in this paper is a (2 + 1)-dimensional nonlinear evolution equation generated by the Jaulent-Miodek hierarchy. Via the Hirota bilinear method, multi-soliton solutions of such equation are obtained. Soliton propagation and interactions are analyzed, and both the elastic and inelastic interactions are seen with some parameters selected. Furthermore, it is proved that the equation possesses the N-soliton solutions expressed in terms of Gramm-type Pfaffian, and can be written in the form of a Pfaffian identity. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：10791 / 10802
页数：12
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