Several families of exact solutions expressed in terms of elementary and special functions are constructed for one nonlinear Sobolev-type equation. The qualitative behavior of these solutions is analyzed.

中文翻译：

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一个非线性Sobolev方程的精确解

对于一个非线性Sobolev型方程，构造了用基本函数和特殊函数表示的几组精确解。分析了这些解决方案的定性行为。