شماره ركورد كنفرانس :
4329
عنوان مقاله :
One-dimensional optimal system of subalgebras for Lie symmetry group of the Benjamin-Bona-Mahoney equation
پديدآورندگان :
Jafari Mehdi m.jafarii@pnu.ac.ir Faculty of Mathematics, University of Payame Noor, PO BOX 19395-3697, Tehran, Iran
كليدواژه :
Lie symmetry group , BBM equation , optimal system.
عنوان كنفرانس :
نهمين كنفرانس ملي نظريه گروههاي ايراني
چكيده فارسي :
In this paper, by using the classical Lie symmetry method, Lie symmetry group of Benjamin-
Bona-Mahoney equation is determined. Th en by classifying the orbits of the adjoint representation
of the symmetry group on its Lie algebra, the optimal system of one-dimensional subalgebras
of the BBM equation is obtained. For each class, we will find the similarity reduction of the equation
and by solving them we will obtain new sets of group invariant solutions.