Generalized separation of variables and exact solutions of nonlinear equations

• Дата: 2010
• Автори: Barannyk, T. A., Barannyk, A. F., Yuryk, I. I., Баранник, Т. А., Баранник, А. Ф., Юрик, І. І.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2010
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2985
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the generalized procedure of separation of variables of the nonlinear hyperbolic-type equations and the Korteweg - de Vries-type equations. We construct a wide class of exact solutions of these equations which cannot be obtained with the use of the S. Lie method and the method of conditi...