Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation

Approximate symmetries, which are admitted by the perturbed KdV equation, are obtained. The optimal system of one-dimensional subalgebra of symmetry algebra is obtained. The approximate invariants of the presented approximate symmetries and some new approximately invariant solutions to the equation...

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Main Authors: Yu-Shan Bai, Qi Zhang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/4743567
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author Yu-Shan Bai
Qi Zhang
author_facet Yu-Shan Bai
Qi Zhang
author_sort Yu-Shan Bai
collection DOAJ
description Approximate symmetries, which are admitted by the perturbed KdV equation, are obtained. The optimal system of one-dimensional subalgebra of symmetry algebra is obtained. The approximate invariants of the presented approximate symmetries and some new approximately invariant solutions to the equation are constructed. Moreover, the conservation laws have been constructed by using partial Lagrangian method.
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spelling doaj-art-9026ac48aad946098a4512e68e0895742025-02-03T06:05:47ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/47435674743567Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV EquationYu-Shan Bai0Qi Zhang1Department of Mathematics, Inner Mongolia University of Technology, Hohhot, 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, 010051, ChinaApproximate symmetries, which are admitted by the perturbed KdV equation, are obtained. The optimal system of one-dimensional subalgebra of symmetry algebra is obtained. The approximate invariants of the presented approximate symmetries and some new approximately invariant solutions to the equation are constructed. Moreover, the conservation laws have been constructed by using partial Lagrangian method.http://dx.doi.org/10.1155/2018/4743567
spellingShingle Yu-Shan Bai
Qi Zhang
Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation
Advances in Mathematical Physics
title Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation
title_full Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation
title_fullStr Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation
title_full_unstemmed Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation
title_short Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation
title_sort approximate symmetry analysis and approximate conservation laws of perturbed kdv equation
url http://dx.doi.org/10.1155/2018/4743567
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AT qizhang approximatesymmetryanalysisandapproximateconservationlawsofperturbedkdvequation