2115

Syⅿⅿetry anaⅼysis anⅾ ⅽⅼassifiⅽation of soⅼutions of partiaⅼⅾifferentiaⅼ equations using Ⅼie groups

دكتري تخصصي

رياضي محض گرايش هندسه

مركز تحصيلات تكميلي دانشگاه پيام نور

1402

1402/10/27

دكتر يداله آريانژاد

دكتر مهدي جعفري

Differential equations, Lie groups, Sakovich equation, vnCBS equation, Symmetry groups

In this thesis, classical Lie methods are used to determine Lie symmetries and invariant solutions of the (3 + 1)-dimensional Sakovich equation and the time-dependent negative-order Calogero-Bogoyavlenskii-Schiff (vnCBS) equation. Non-classical symmetries are also specified for Sakovich equation. In addition, we obtain the conservation laws of the vnCBS equation using the direct method.

1403/11/30

ابراهيمي

77346