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Self-Similar Solutions of Some Model Degenerate Partial Differential Equations of the Second, Third, and Fourth Order
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2020-07-18 , DOI: 10.1134/s1995080220060153 M. Ruzhansky , A. Hasanov
中文翻译:
一些模型的二阶,三阶和四阶退化偏微分方程的自相似解
更新日期:2020-07-18
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2020-07-18 , DOI: 10.1134/s1995080220060153 M. Ruzhansky , A. Hasanov
Abstract
When studying boundary value problems for some partial differential equations arising in applied mathematics, we often have to study the solution of a system of partial differential equations satisfied by hypergeometric functions and find explicit linearly independent solutions for the system. In this study, we construct self-similar solutions of some model degenerate partial differential equations of the second, third, and fourth order. These self-similar solutions are expressed in terms of hypergeometric functions.中文翻译:
一些模型的二阶,三阶和四阶退化偏微分方程的自相似解