On Exact Solutions to Multidimensional GeneralizedMonge–Ampère Equation
Exact solutions to some multidimensional generalized Monge–Ampère equations are found. These solutions are a superposition of a quadratic form of spatial variables and solutions to nonlinear ordinary differential equations generated by the Monge–Ampère equations.
Authors
- А. А. Косов (ORCID: https://orcid.org/0000-0003-1352-1828)
- Е. И. Семенов (ORCID: https://orcid.org/0000-0002-9768-9945)
Institutions
- Institute for System Dynamics and Control Theory (RU)
Publication Details
- Journal
- Differential Equations
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1134/s0012266124100057
- Citations
- 7
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 7.08