Self-Similar Solutions of a Multidimensional Degenerate Partial Differential Equation of the Third Order
Айнур РысканInstitute of Mathematics, Physics and Informatics, Abai Kazakh National Pedagogical University, Almaty 050012, KazakhstanZafarjon O. ArzikulovDepartment of Higher Mathematics, Fergana Polytechnic Institute, Fergana 150100, UzbekistanTuhtasin ErgashevDepartment of Higher Mathematics, National Research University “TIIAME”, Tashkent 100000, UzbekistanAbdumauvlen BerdyshevInstitute of Mathematics, Physics and Informatics, Abai Kazakh National Pedagogical University, Almaty 050012, Kazakhstan
ABI
Abstract
When studying the boundary value problems’ solvability for some partial differential equations encountered in applied mathematics, we frequently need to create systems of partial differential equations and explicitly construct linearly independent solutions explicitly for these systems. Hypergeometric functions frequently serve as solutions that satisfy these systems. In this study, we develop self-similar solutions for a third-order multidimensional degenerate partial differential equation. These solutions are represented using a generalized confluent Kampé de Fériet hypergeometric function of the third order.