Symmetry reduction and exact solutions of the multidimensional monge-ampere equation

• Дата: 1996
• Автори: Leibov, O. S., Fedorchuk, V. M., Лейбов, О. С., Федорчук, В. М.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1996
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5302
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

By using the subgroup structure of the generalized Poincare groupP( 1, 4), we perform a symmetry reduction of the multidimensional Monge-Ampere equation to differential equations with a smaller number of independent variables. On the basis of solutions of the reduced equations, we construct some cla...