On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics

In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators of this nonlinear partial differential equati...

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Autores principales:	Karabo Plaatjie, Chaudry Masood Khalique
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Two-dimensional breaking soliton Exact solution Jacobi and Weierstrass elliptic functions Conservation laws Noether’s theorem Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doaj.org/article/9a4f643a0e204373847bdaf4605685d6
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spelling	oai:doaj.org-article:9a4f643a0e204373847bdaf4605685d62021-11-22T04:33:06ZOn the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics2666-818110.1016/j.padiff.2021.100198https://doaj.org/article/9a4f643a0e204373847bdaf4605685d62021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666818121001030https://doaj.org/toc/2666-8181In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators of this nonlinear partial differential equation and then utilize them to perform symmetry reductions. Travelling wave variables are used to obtain most general closed-form solutions of this equation by using two procedures. In addition, we compute the conserved vectors of this equation by engaging the classical Noether’s theorem.Karabo PlaatjieChaudry Masood KhaliqueElsevierarticleTwo-dimensional breaking solitonExact solutionJacobi and Weierstrass elliptic functionsConservation lawsNoether’s theoremApplied mathematics. Quantitative methodsT57-57.97ENPartial Differential Equations in Applied Mathematics, Vol 4, Iss , Pp 100198- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Two-dimensional breaking soliton Exact solution Jacobi and Weierstrass elliptic functions Conservation laws Noether’s theorem Applied mathematics. Quantitative methods T57-57.97
spellingShingle	Two-dimensional breaking soliton Exact solution Jacobi and Weierstrass elliptic functions Conservation laws Noether’s theorem Applied mathematics. Quantitative methods T57-57.97 Karabo Plaatjie Chaudry Masood Khalique On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
description	In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators of this nonlinear partial differential equation and then utilize them to perform symmetry reductions. Travelling wave variables are used to obtain most general closed-form solutions of this equation by using two procedures. In addition, we compute the conserved vectors of this equation by engaging the classical Noether’s theorem.
format	article
author	Karabo Plaatjie Chaudry Masood Khalique
author_facet	Karabo Plaatjie Chaudry Masood Khalique
author_sort	Karabo Plaatjie
title	On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
title_short	On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
title_full	On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
title_fullStr	On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
title_full_unstemmed	On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
title_sort	on the solutions and conservation laws of the 2d breaking soliton equation of fluid mechanics
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/9a4f643a0e204373847bdaf4605685d6
work_keys_str_mv	AT karaboplaatjie onthesolutionsandconservationlawsofthe2dbreakingsolitonequationoffluidmechanics AT chaudrymasoodkhalique onthesolutionsandconservationlawsofthe2dbreakingsolitonequationoffluidmechanics
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On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics

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