Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws

Approximate symmetries for a coupled system of perturbed Korteweg-de Vries equations with small parameters are constructed by applying the method of approximate transformation groups. The optimal system of the presented approximate symmetries and a few approximate invariant solutions to the...

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Main Authors:	Bai Yu-Shan, Zhang Qi
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2019-01-01
Series:	Thermal Science
Subjects:	coupled system of perturbed korteweg-de vries equations approximate symmetry approximate invariant solution approximate conservation law optimal system
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904281B.pdf

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record_format	Article
spelling	doaj-ea6e5cba3d8a46e18457f231cfb620282021-01-02T12:47:46ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362019-01-012342281228910.2298/TSCI1904281B0354-98361904281BPerturbed Korteweg-de Vries equations symmetry analysis and conservation lawsBai Yu-Shan0Zhang Qi1College of Science, Inner Mongolia University of Technology, Hohhot, ChinaCollege of Science, Inner Mongolia University of Technology, Hohhot, ChinaApproximate symmetries for a coupled system of perturbed Korteweg-de Vries equations with small parameters are constructed by applying the method of approximate transformation groups. The optimal system of the presented approximate symmetries and a few approximate invariant solutions to the coupled system are obtained. Moreover, approximate conservation laws are constructed by using the partial Lagrangian method.http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904281B.pdfcoupled system of perturbed korteweg-de vries equationsapproximate symmetryapproximate invariant solutionapproximate conservation lawoptimal system
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bai Yu-Shan Zhang Qi
spellingShingle	Bai Yu-Shan Zhang Qi Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws Thermal Science coupled system of perturbed korteweg-de vries equations approximate symmetry approximate invariant solution approximate conservation law optimal system
author_facet	Bai Yu-Shan Zhang Qi
author_sort	Bai Yu-Shan
title	Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws
title_short	Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws
title_full	Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws
title_fullStr	Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws
title_full_unstemmed	Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws
title_sort	perturbed korteweg-de vries equations symmetry analysis and conservation laws
publisher	VINCA Institute of Nuclear Sciences
series	Thermal Science
issn	0354-9836
publishDate	2019-01-01
description	Approximate symmetries for a coupled system of perturbed Korteweg-de Vries equations with small parameters are constructed by applying the method of approximate transformation groups. The optimal system of the presented approximate symmetries and a few approximate invariant solutions to the coupled system are obtained. Moreover, approximate conservation laws are constructed by using the partial Lagrangian method.
topic	coupled system of perturbed korteweg-de vries equations approximate symmetry approximate invariant solution approximate conservation law optimal system
url	http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904281B.pdf
work_keys_str_mv	AT baiyushan perturbedkortewegdevriesequationssymmetryanalysisandconservationlaws AT zhangqi perturbedkortewegdevriesequationssymmetryanalysisandconservationlaws
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Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws

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