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【答案】应助回帖
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感谢参与，应助指数 +1
zhoushengguo: 金币+20, ★★★★★最佳答案 2018-01-08 12:28:07
心静_依然: LS-EPI+1, 感谢应助 2018-01-08 20:22:57
Backlund transformation classification, integrability and exact solutions to the generalized Burgers'-KdV equation
作者:Liu, HZ (Liu, Hanze)[ 1,2 ] ; Xin, XP (Xin, Xiangpeng)[ 1 ] ; Wang, ZG (Wang, Zenggui)[ 1 ] ; Liu, XQ (Liu, Xiqiang)[ 1 ]
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷: 44
页: 11-18
DOI: 10.1016/j.cnsns.2016.07.022
出版年: MAR 2017
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摘要
This paper is concerned with the Backlund transformations (BTs) of the nonlinear evolution equations (NLEEs). Based on the homogeneous balance principle (HBP), the existence of the BT of the generalized Burgers'-KdV (B-KdV) equation is classified, then the BTs of the nonlinear equations are given. In general, the method can be used to construct BTs of the nonlinear evolution equations in polynomial form. Furthermore, the integrability and exact explicit solutions to the nonlinear equations are investigated. (C) 2016 Elsevier B.V. All rights reserved.
关键词
作者关键词 irect method; Homogeneous balance principle; Backlund transformation; Integrability; Exact solution
作者信息
通讯作者地址: Liu, HZ (通讯作者)
Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China.
通讯作者地址: Liu, HZ (通讯作者)
Binzhou Univ, Dept Math, Binzhou 256603, Shandong, Peoples R China.
地址:
[ 1 ] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China
[ 2 ] Binzhou Univ, Dept Math, Binzhou 256603, Shandong, Peoples R China
电子邮件地址:hanze_liu@126.com
基金资助致谢
基金资助机构
授权号
National Natural Science Foundation of China
11171041
11505090
Research Award Foundation for Outstanding Young Scientists of Shandong Province
BS2015SF009
high-level foundation of Liaocheng University
31805
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出版商
ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
类别 / 分类
研究方向:Mathematics; Mechanics; Physics
Web of Science 类别:Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical
文献信息
文献类型:Article
语种:English
入藏号: WOS:000386744400002
ISSN: 1007-5704
eISSN: 1878-7274
其他信息
IDS 号: EA6MX
Web of Science 核心合集中的 "引用的参考文献": 20
Web of Science 核心合集中的 "被引频次": 1 |
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