Group classification of a class of systems of nonlinear diffusion equations. I

• Дата: 2026
• Автори: Voloshyn, O., Serov, M., Vaneeva, O., Волошин, Олександр, Сєров, Микола, Ванєєва, Олена
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8902
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.95:512.81 We study the Lie symmetries of a class of systems of $(1+1)$-dimensional nonlinear diffusion equations. The equivalence algebra and the kernel of maximal invariance algebras of this class are found. We prove that there are nine inequivalent subclasses of this class for which the co...