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

页码：392 / 402

页数：11

共 50 条

[1] Peakons and new exact solitary wave solutions of extended quantum Zakharov-Kuznetsov equation
Zhang, Ben-gong
Li, Weibo
Li, Xiangpeng
[J]. PHYSICS OF PLASMAS, 2017, 24 (06)
[2] New Exact Travelling Wave Solutions for Zakharov-Kuznetsov Equation
MA Hong-Cai~+ YU Yao-Dong GE Dong-Jie Department of Applied Mathematics
[J]. Communications in Theoretical Physics, 2009, 51 (04) : 609 - 612
[3] New Exact Travelling Wave Solutions for Zakharov-Kuznetsov Equation
Ma Hong-Cai
Yu Yao-Dong
Ge Dong-Jie
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 51 (04) : 609 - 612
[4] New Exact Solutions of Zakharov-Kuznetsov Equation
HU Heng-Chun College of Science
[J]. Communications in Theoretical Physics, 2008, 49 (03) : 559 - 561
[5] New exact solutions of Zakharov-Kuznetsov equation
Heng-Chun, Hu
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (03) : 559 - 561
[6] Exact travelling wave solutions for the Zakharov-Kuznetsov equation
Peng, Yan-Ze
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 199 (02) : 397 - 405
[7] New exact periodic elliptic wave solutions for extended quantum Zakharov-Kuznetsov equation
Raza, Nauman
Abdullah, Muhammad
Butt, Asma Rashid
Murtaza, Isma Ghulam
Sial, Sultan
[J]. OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (04)
[8] The new exact solitary and multi-soliton solutions for the (2+1)-dimensional Zakharov-Kuznetsov equation
Kuo, Chun-Ku
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (08) : 2851 - 2857
[9] Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation
Li, B
Chen, Y
Zhang, HQ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (2-3) : 653 - 666
[10] Solitary wave solutions and kink wave solutions for a generalized Zakharov-Kuznetsov equation
Song, Ming
Cai, Jionghui
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1455 - 1462

← 1 2 3 4 5 →