Construction of exact solutions of nonlinear heat conduction equations

• Date: 2026
• Main Authors: Barannik, A., Barannik, Т., Yurik, I., Баранник, Анатолій, Баранник, Тетяна, Юрик, Іван
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8985
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.958 We consider substitutions reducing  nonlinear heat-conduction equations with a source to a system of two ordinary differential equations. Classes of exact solutions  of these equations with generalized separation of variables are constructed.