论文标题
第二，第三和第四阶的某些模型退化部分偏微分方程的自相似解决方案
Self-similar solutions of some model degenerate partial differential equations of the second, third and fourth order
论文作者
论文摘要
在研究应用数学中出现的某些部分微分方程的边界值问题时，我们通常必须研究通过超几何函数满足的部分微分方程系统的解决方案，并找到该系统的明确独立解决方案。在这项研究中，我们构建了第二，第三和第四阶的某些模型退化偏微分方程的自相似解。这些自相似的解决方案以高几幅功能表示。
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.
