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Self-similar solutions of some model degenerate partial differential equations of the second, third and fourth order

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 نشر من قبل Michael Ruzhansky
 تاريخ النشر 2020
  مجال البحث
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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.



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