Group Analysis, Exact Solutions and Conservation Laws of a Generalized Fifth Order KdV Equation

Gangwei Wang; Kamran Fakhar; A. H. Kara; Jose Vega-Guzman; Anjan Biswas

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Content type	Content type Digital Document
Collection(s)	Collection(s) Faculty Publications
Resource Type	Resource Type Text
Genre	Genre article
Peer Review Status	Peer Review Status Peer Reviewed

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Date Created/Date Issued	2016-01-01

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Persons	Author (aut): Wang, Gangwei Author (aut): Fakhar, Kamran Author (aut): Kara, A. H. Author (aut): Vega-Guzman, Jose Author (aut): Biswas, Anjan

Abstract/Description

Abstract

We study the generalized fifth order KdV equation using group methods and conservation laws. All of the geometric vector fields of the special fifth order KdV equation are presented. By using the nonclassical Lie group method, it is show that this equation does not admit nonclassical type symmetries. Then, on the basis of the optimal system, the symmetry reductions and exact solutions to this equation are constructed. For some special cases, we obtain additional nontrivial conservation laws and scaling symmetries.

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<p>Wang, G., Kara, A.H., Fakhar, K, Vega-Guzman,J. (2016). Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation.<em> Chaos, Solitons & Fractal</em>s, <a href="http://www.sciencedirect.com/science/journal/09600779/86/supp/C" title="Go to table of contents for this volume/issue">86</a> 8–15.<a href="http://dx.doi.org/10.1016/j.chaos.2016.02.013" id="x-x-x-x-x-x-x-x-x-x-x-ddDoi"> doi:10.1016/j.chaos.2016.02.013</a></p>

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Note	publication status: This work is embargoed until June 1, 2018.

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Use and Reproduction	Use and Reproduction The Publisher holds the copyright
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Subjects and Classifications

Keywords	Keywords fifth-order Korteweg-de Vries (gfKdV) symmetry analysis exact solutions conservation laws
Subject Topic	Subject Topic Applied Mathematics Mathematics Physics

Language	English
Name	Group Analysis, Exact Solutions and Conservation Laws of a Generalized Fifth Order KdV Equation
Authored on	2025-04-09
MIME type	application/pdf
File size	419286
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Group Analysis, Exact Solutions and Conservation Laws of a Generalized Fifth Order KdV Equation

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