ON EXACT SOLUTIONS OF MULTIDIMENSIONAL GENERALIZED MONGE–AMPERE EQUATION

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Abstract

Exact solutions of some multidimensional generalized Monge–Ampere equations are found. These solutions are a superposition of a quadratic form of spatial variables and solutions of nonlinear ordinary differential equations generated by the Monge–Ampere equations.

About the authors

A. A Kosov

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of RAS

Email: kosov_idstu@mail.ru
Irkutsk, Russia

E. I Semenov

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of RAS

Email: edwseiz@gmail.com
Irkutsk, Russia

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