On application of the variable separation method to mathematical physics equations containing homogeneous functions of derivatives | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2013. № 3(23).

On application of the variable separation method to mathematical physics equations containing homogeneous functions of derivatives

The solutions of some evolutionary equations of mathematical physics containing homogeneous functions of derivatives were received using the variables separation method. The equations containing one or several homogeneous functions are considered. Solutions for some particular cases are analyzed.

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Keywords

уравнение, однородная функция, метод разделения переменных, частная производная, equation, homogeneous function, variable separation method, partial derivative

Authors

Name	Organization	E-mail
Rakhmelevich Igor Vladimirovich	Nizhny Novgorod State Commercial Institute	igor-kitpd@yandex.ru

Всего: 1

References

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Корн Г., Корн Т. Справочник по математике для научных работников и инженеров. М.: Наука, 1984.

Зайцев В.Ф., Полянин А.Д. Справочник по дифференциальным уравнениям с частными производными первого порядка. М.: Физматлит, 2003.