Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics

In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations. Using Lie’s theory several symmetry reductions are performed and the system is redu...

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Autor principal:	Khalique Chaudry Masood
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	generalized hirota–satsuma coupled kdv system lie’s theory simplest equation method conservation laws multiplier method Physics QC1-999
Acceso en línea:	https://doaj.org/article/7b1d0080092d450b8e82fc80546fa7f9
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spelling	oai:doaj.org-article:7b1d0080092d450b8e82fc80546fa7f92021-12-05T14:11:01ZClosed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics2391-547110.1515/phys-2021-0002https://doaj.org/article/7b1d0080092d450b8e82fc80546fa7f92021-02-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0002https://doaj.org/toc/2391-5471In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations. Using Lie’s theory several symmetry reductions are performed and the system is reduced to systems of non-linear ordinary differential equations (NLODEs). Subsequently, the simplest equation method is invoked to find exact solutions of the NLODE systems, which then provides the solitary wave solutions for the system under discussion. Finally, we construct conservation laws of generalized Hirota–Satsuma coupled KdV system with the aid of general multiplier approach.Khalique Chaudry MasoodDe Gruyterarticlegeneralized hirota–satsuma coupled kdv systemlie’s theorysimplest equation methodconservation lawsmultiplier methodPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 18-25 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	generalized hirota–satsuma coupled kdv system lie’s theory simplest equation method conservation laws multiplier method Physics QC1-999
spellingShingle	generalized hirota–satsuma coupled kdv system lie’s theory simplest equation method conservation laws multiplier method Physics QC1-999 Khalique Chaudry Masood Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics
description	In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations. Using Lie’s theory several symmetry reductions are performed and the system is reduced to systems of non-linear ordinary differential equations (NLODEs). Subsequently, the simplest equation method is invoked to find exact solutions of the NLODE systems, which then provides the solitary wave solutions for the system under discussion. Finally, we construct conservation laws of generalized Hirota–Satsuma coupled KdV system with the aid of general multiplier approach.
format	article
author	Khalique Chaudry Masood
author_facet	Khalique Chaudry Masood
author_sort	Khalique Chaudry Masood
title	Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics
title_short	Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics
title_full	Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics
title_fullStr	Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics
title_full_unstemmed	Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics
title_sort	closed-form solutions and conservation laws of a generalized hirota–satsuma coupled kdv system of fluid mechanics
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/7b1d0080092d450b8e82fc80546fa7f9
work_keys_str_mv	AT khaliquechaudrymasood closedformsolutionsandconservationlawsofageneralizedhirotasatsumacoupledkdvsystemoffluidmechanics
_version_	1718371481725960192

Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics

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