Lie-Backlund symmetry, reduction and solutions of nonlinear evolution equations

• Дата: 2022
• Автори: Rzeszut, W., Tsyfra, I. M., Vladimirov, V. A., Жешут, В., Цифра, I. М., Владiмiров , В. А., Иван
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2022
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/7007
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We study the symmetry reduction of nonlinear partial differential equations which are used for describing diffusion processes in a nonhomogeneous medium. We find ansatzes reducing partial differential equations to systems of ordinary differential equations. The ansatzes are constructed by...