A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation

This article studies a (2+1)–dimensional first extended Calogero-Bogoyavlenskii-Schiff equation, which was recently introduced in the literature. We derive Lie symmetries of this equation and then use them to perform symmetry reductions. Using translation symmetries, a fourth-order ordinary differen...

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Autores principales:	Chaudry Masood Khalique, Kentse Maefo
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	extended calogero-bogoyavlenskii-schiff equation lie symmetries noether's theorem kudryashov's method conservation laws Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2fa709a310f641f7a0f303b0021d48a1
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id	oai:doaj.org-article:2fa709a310f641f7a0f303b0021d48a1
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spelling	oai:doaj.org-article:2fa709a310f641f7a0f303b0021d48a12021-11-09T05:49:03ZA study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation10.3934/mbe.20212931551-0018https://doaj.org/article/2fa709a310f641f7a0f303b0021d48a12021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021293?viewType=HTMLhttps://doaj.org/toc/1551-0018This article studies a (2+1)–dimensional first extended Calogero-Bogoyavlenskii-Schiff equation, which was recently introduced in the literature. We derive Lie symmetries of this equation and then use them to perform symmetry reductions. Using translation symmetries, a fourth-order ordinary differential equation is obtained which is then solved with the aid of Kudryashov and (G′/G)−expansion techniques to construct closed-form solutions. Besides, we depict the solutions with the appropriate graphical representations. Moreover, conserved vectors of this equation are computed by engaging the multiplier approach as well as Noether's theorem.Chaudry Masood KhaliqueKentse MaefoAIMS Pressarticleextended calogero-bogoyavlenskii-schiff equationlie symmetriesnoether's theoremkudryashov's methodconservation lawsBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5816-5835 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	extended calogero-bogoyavlenskii-schiff equation lie symmetries noether's theorem kudryashov's method conservation laws Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	extended calogero-bogoyavlenskii-schiff equation lie symmetries noether's theorem kudryashov's method conservation laws Biotechnology TP248.13-248.65 Mathematics QA1-939 Chaudry Masood Khalique Kentse Maefo A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation
description	This article studies a (2+1)–dimensional first extended Calogero-Bogoyavlenskii-Schiff equation, which was recently introduced in the literature. We derive Lie symmetries of this equation and then use them to perform symmetry reductions. Using translation symmetries, a fourth-order ordinary differential equation is obtained which is then solved with the aid of Kudryashov and (G′/G)−expansion techniques to construct closed-form solutions. Besides, we depict the solutions with the appropriate graphical representations. Moreover, conserved vectors of this equation are computed by engaging the multiplier approach as well as Noether's theorem.
format	article
author	Chaudry Masood Khalique Kentse Maefo
author_facet	Chaudry Masood Khalique Kentse Maefo
author_sort	Chaudry Masood Khalique
title	A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation
title_short	A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation
title_full	A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation
title_fullStr	A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation
title_full_unstemmed	A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation
title_sort	study on the (2+1)–dimensional first extended calogero-bogoyavlenskii- schiff equation
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/2fa709a310f641f7a0f303b0021d48a1
work_keys_str_mv	AT chaudrymasoodkhalique astudyonthe21dimensionalfirstextendedcalogerobogoyavlenskiischiffequation AT kentsemaefo astudyonthe21dimensionalfirstextendedcalogerobogoyavlenskiischiffequation AT chaudrymasoodkhalique studyonthe21dimensionalfirstextendedcalogerobogoyavlenskiischiffequation AT kentsemaefo studyonthe21dimensionalfirstextendedcalogerobogoyavlenskiischiffequation
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A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation

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