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...
Saved in:
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2018-01-01
|
Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2018/4743567 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832550796033523712 |
---|---|
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. |
format | Article |
id | doaj-art-9026ac48aad946098a4512e68e089574 |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
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 |
work_keys_str_mv | AT yushanbai approximatesymmetryanalysisandapproximateconservationlawsofperturbedkdvequation AT qizhang approximatesymmetryanalysisandapproximateconservationlawsofperturbedkdvequation |