|
|
【答案】应助回帖
★ ★ ★ ★ ★ ★ ★ ★ ★ ★
感谢参与，应助指数 +1
yangyunxiang: 金币+5, ★★★很有帮助 2014-08-22 22:19:58
jssxh: 金币+5, 检索EPI+1, 谢谢参与，请继续关注本版块！ 2014-08-23 17:03:15
Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants
作者:He, YH (He, Yinghui)[ 1 ] ; Zhao, YM (Zhao, Yun-Mei)[ 1 ] ; Long, Y (Long, Yao)[ 1 ]
JOURNAL OF APPLIED MATHEMATICS
文献号: 578362
DOI: 10.1155/2014/578362
出版年: 2014
查看期刊信息
摘要
The simplest equation method presents wide applicability to the handling of nonlinear wave equations. In this paper, we focus on the exact solution of a new nonlinear KdV-like wave equation by means of the simplest equation method, the modified simplest equation method and, the extended simplest equation method. The KdV-like wave equation was derived for solitary waves propagating on an interface (liquid-air) with wave motion induced by a harmonic forcing which is more appropriate for the study of thin film mass transfer. Thus finding the exact solutions of this equation is of great importance and interest. By these three methods, many new exact solutions of this equation are obtained.
关键词
KeyWords Plus:VARIATIONAL ITERATION METHOD; DIFFERENTIAL-EQUATIONS; MATHEMATICAL PHYSICS; EVOLUTION-EQUATIONS; HEAT-TRANSFER; SERIES
作者信息
通讯作者地址: Long, Y (通讯作者)
Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China.
地址:
[ 1 ] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
电子邮件地址:yaolong04@163.com
基金资助致谢
基金资助机构 授权号
Natural Science Foundation of China
11161020
11361023
Young and Middle-Aged Academic Backbone of Honghe University
2014GG0105
查看基金资助信息
出版商
HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
类别 / 分类
研究方向:Mathematics
Web of Science 类别:Mathematics, Applied
文献信息
文献类型:Article
语种:English
入藏号: WOS:000338535200001
ISSN: 1110-757X
电子 ISSN: 1687-0042
期刊信息
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: AK6JZ
Web of Science 核心合集中的 "引用的参考文献": 30
Web of Science 核心合集中的 "被引频次": 0 |
|
回复此楼