Reductions and conservation laws for BBM and modified BBM equations-Reference-Cited by-同舟云学术

Reductions and conservation laws for BBM and modified BBM equations

Published:2016-01-01 Issue:1 Volume:14 Page:1138-1148
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Khorshidi Maryam¹,Nadjafikhah Mehdi²,Jafari Hossein³,Al Qurashi Maysaa⁴

Affiliation:

1. 1Firuzabad Institute of Higher Education, Firuzabad, Fars, Po. Box: 74717-94469, Iran

2. 2Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 1684613114, Iran

3. 3Department of Mathematics, University of Mazandaran, Babolsar, Iran, and Department of Mathematical Sciences, University of South Africa, PO Box 392, UNISA 0003, South Africa

4. 4Department of Mathematics, King Saud University, Riyadh 11495, Saudi Arabia

Abstract

AbstractIn this paper, the classical Lie theory is applied to study the Benjamin-Bona-Mahony (BBM) and modified Benjamin-Bona-Mahony equations (MBBM) to obtain their symmetries, invariant solutions, symmetry reductions and differential invariants. By observation of the the adjoint representation of Mentioned symmetry groups on their Lie algebras, we find the primary classification (optimal system) of their group-invariant solutions which provides new exact solutions to BBM and MBBM equations. Finally, conservation laws of the BBM and MBBM equations are presented. Some aspects of their symmetry properties are given too.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0101/pdf

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