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Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants
×÷Õß: He, Yinghui; Zhao, Yun-Mei; Long, Yao
JOURNAL OF APPLIED MATHEMATICS    ÎÄÏ׺Å: 578362   ³ö°æÄê: 2014



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Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants
×÷Õß:He, YH (He, Yinghui)[ 1 ] ; Zhao, YM (Zhao, Yun-Mei)[ 1 ] ; Long, Y (Long, Yao)[ 1 ]
JOURNAL OF APPLIED MATHEMATICS
ÎÄÏ׺Å: 578362
DOI: 10.1155/2014/578362
³ö°æÄê: 2014
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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.
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KeyWords Plus:VARIATIONAL ITERATION METHOD; DIFFERENTIAL-EQUATIONS; MATHEMATICAL PHYSICS; EVOLUTION-EQUATIONS; HEAT-TRANSFER; SERIES
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ͨѶ×÷ÕßµØÖ·: Long, Y (ͨѶ×÷Õß)
              Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China.
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              [ 1 ] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
µç×ÓÓʼþµØÖ·:yaolong04@163.com
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»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
Natural Science Foundation of China        
11161020
11361023
Young and Middle-Aged Academic Backbone of Honghe University        
2014GG0105
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
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HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics, Applied
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ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000338535200001
ISSN: 1110-757X
µç×Ó ISSN: 1687-0042
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Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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IDS ºÅ: AK6JZ
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 30
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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