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Keywords = generalized confluent Kampé de Fériet hypergeometric function

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13 pages, 260 KB  
Article
Self-Similar Solutions of a Multidimensional Degenerate Partial Differential Equation of the Third Order
by Ainur Ryskan, Zafarjon Arzikulov, Tuhtasin Ergashev and Abdumauvlen Berdyshev
Mathematics 2024, 12(20), 3188; https://doi.org/10.3390/math12203188 - 11 Oct 2024
Cited by 1 | Viewed by 946
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 [...] Read more.
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. Full article
(This article belongs to the Section C1: Difference and Differential Equations)
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