Reductions and conservation laws for BBM and modified BBM equations

• Autorzy: Maryam Khorshidi , Mehdi Nadjafikhah , Hossein Jafari , Maysaa Al Qurashi
• Języki publikacji: EN

Abstrakty

EN

In 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.

Słowa kluczowe

EN

Lie symmetries; Group-invariant solutions; Optimal system of Lie sub-algebras; Conservation laws; BBM and MBBM equations

Kategorie tematyczne

• 70H33: Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction
• 70G65: Symmetries, Lie-group and Lie-algebra methods
• 34K17: Transformation and reduction of equations and systems, normal forms

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1138-1148

Daty

wydano

2016-01-01

otrzymano

2016-08-04

zaakceptowano

2016-10-28

online

2016-12-30

Twórcy

autor

Maryam Khorshidi

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

autor

Mehdi Nadjafikhah

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

autor

Hossein Jafari

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

autor

Maysaa Al Qurashi

• Department of Mathematics, King Saud University, Riyadh 11495,

Identyfikatory

DOI

10.1515/math-2016-0101