Reductions and conservation laws for BBM and modified BBM equations

Maryam Khorshidi, et al. "Reductions and conservation laws for BBM and modified BBM equations." Open Mathematics 14.1 (2016): 1138-1148. <http://eudml.org/doc/288013>.

@article{MaryamKhorshidi2016,
abstract = {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.},
author = {Maryam Khorshidi, Mehdi Nadjafikhah, Hossein Jafari, Maysaa Al Qurashi},
journal = {Open Mathematics},
keywords = {Lie symmetries; Group-invariant solutions; Optimal system of Lie sub-algebras; Conservation laws; BBM and MBBM equations; group-invariant solutions; optimal system of Lie sub-algebras; conservation laws},
language = {eng},
number = {1},
pages = {1138-1148},
title = {Reductions and conservation laws for BBM and modified BBM equations},
url = {http://eudml.org/doc/288013},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Maryam Khorshidi
AU - Mehdi Nadjafikhah
AU - Hossein Jafari
AU - Maysaa Al Qurashi
TI - Reductions and conservation laws for BBM and modified BBM equations
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1138
EP - 1148
AB - 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.
LA - eng
KW - Lie symmetries; Group-invariant solutions; Optimal system of Lie sub-algebras; Conservation laws; BBM and MBBM equations; group-invariant solutions; optimal system of Lie sub-algebras; conservation laws
UR - http://eudml.org/doc/288013
ER -