چکیده مقاله
In this paper, we obtain the Lie symmetry group of the di usion Boussinesq equation Lie symmetry group helps us to obtain new solutions from known one Thenwe analysis this group and classify the one dimensional subalgebra of the Lie symmetry algebra of the di usion Boussinesq equation we have found optimal system and pre liminary classi cation of group invariant solution and we construct the optimal system of one dimensional subalgebras for the Lie symmetry algebra of this equation Further more, similarity reductions related to the in nitesimal generators of the Lie symmetry group are obtained
کلیدواژهها
نویسندگان
Amin Tanhaeivash
Department of Mathematics, Payame Noor University, P O Box۱۹۳۹۵ ۳۶۹۷, Tehran, Iran
Elham Meihami
Department of Mathematics, Payame Noor University, P O Box۱۹۳۹۵ ۳۶۹۷, Tehran, Iran
شیوه ارجاع
Tanhaeivash, Amin and Meihami, Elham,1401,Optimal System, Lie Symmetries Group Analysis and Similarity reductions of the Nonlinear Di usion Boussinesq Equation,10th National Conference on Mathematics, Payame Noor University,Shiraz
ارائهشده در
مجموعه مقالات دهمین همایش ملی ریاضی دانشگاه پیام نور28 اردیبهشت 1401 · شیراز