New exact solitary wave and multiple soliton solutions of quantum Zakharov-Kuznetsov equation

被引：32
|
作者：
Zhang, Ben-gong [1 ]
Liu, Zheng-rong [1 ]
Xiao, Qing [2 ]
机构：
[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
[2] Yunnan Normal Univ, Sch Math, Kunming 650092, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 01期
关键词：
Quantum Zakharov-Kuznetsov equation; Auxiliary equation method; Hirota bilinear method; Solitary wave solutions; Multiple-soliton solutions; NONLINEAR EVOLUTION-EQUATIONS; HIROTA 3-SOLITON CONDITION; TANH-FUNCTION METHOD; SHALLOW-WATER WAVES; ION-ACOUSTIC-WAVES; BILINEAR EQUATIONS; MODEL-EQUATIONS; PLASMAS; COLLISIONS; PHYSICS;
D O I：
10.1016/j.amc.2010.05.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By employing auxiliary equation method and Hirota bilinear method, the quantum Zakharov-Kuznetsov equation which arises in quantum magnetoplasma is investigated. With the aid of symbolic computation, both solitary wave solutions and multiple-soliton solutions are obtained. These new exact solutions will extend previous results and help us explain the properties of multidimensional nonlinear ion-acoustic waves in dense magnetoplasma. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：392 / 402
页数：11
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