Painleve integrability and N-soliton solution for the variable-coefficient Zakharov-Kuznetsov equation from plasmas

被引：15
作者：
Qu, Qi-Xing [1 ]
Tian, Bo [1 ,2 ,3 ]
Liu, Wen-Jun [1 ]
Li, Min [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, Key Lab Informat Photon & Opt Commun, Minist Educ, Beijing 100876, Peoples R China
来源：
NONLINEAR DYNAMICS | 2010年 / 62卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Variable-coefficient Zakharov-Kuznetsov equation; Hirota method; N-soliton solution; Symbolic computation; KADOMTSEV-PETVIASHVILI EQUATION; BACKLUND TRANSFORMATION; SYMBOLIC COMPUTATION; KDV EQUATION; MODEL; NEBULONS; FORM; PROPERTY; FIBERS;
D O I：
10.1007/s11071-010-9713-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation of B-type (BKP) is hereby investigated. New soliton solutions and soliton-like similarity solutions are constructed for the (2+1)-dimensional BKP equation. The similarity solutions are not travelling wave solutions when the arbitrary functions involved are chosen appropriately. Painlev, test shows that there are two solution branches, one of which has the resonance -2. And four similarity reductions for the BKP equation are given out through nontrivial variable transformations. Moreover, abundant soliton behaviour modes of the solutions, such as soliton fusion and soliton reflection, are discussed in detail.
引用
收藏
页码：229 / 235
页数：7
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