Group analysis, reductions, and exact solutions of the Monge-Ampère equation in magnetic hydrodynamics
type: Item
instance of: scholarly article
title: Group analysis, reductions, and exact solutions of the Monge-Ampère equation in magnetic hydrodynamics
zbMATH Open document ID: 1548.35032
author: Alexander V. Aksenov
author: A. D. Polyanin
published in: Differential Equations
publication date: 2024-09-24T00:00:00Z
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35K96
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 7917703
zbMATH Keywords: Monge-Ampère equation
zbMATH Keywords: group analysis
zbMATH Keywords: reduction
zbMATH Keywords: exact solution
MaRDI profile type: Publication
cites work: Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
cites work: Convex-monotone functions and generalized solution of parabolic Monge--Ampère equation
cites work: On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations
cites work: Regularity results on the parabolic Monge-Ampère equation with \(VMO\) type data
cites work: Exterior problems for a parabolic Monge-Ampère equation
cites work: Boundary regularity on the parabolic Monge-Ampère equation
cites work: Q4069454
cites work: NONISENTROPIC ONE-DIMENSIONAL GAS MOTIONS CONSTRUCTED BY MEANS OF THE CONTACT GROUP OF THE NONHOMOGENEOUS MONGE-AMPÈRE EQUATION
cites work: An efficient approach for the numerical solution of the Monge-Ampère equation
cites work: Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions
cites work: Nonautonomous evolution equation of Monge-Ampere type with two space variables
cites work: Separation of Variables and Exact Solutions to Nonlinear PDEs
cites work: Q3945260
cites work: Reduction method and new exact solutions of the multidimensional nonlinear heat equation
cites work: Exact solutions of the generalized Richards equation with power-law nonlinearities
cites work: Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions
DOI: 10.1134/S001226612406003X
description: scientific article; zbMATH DE number 7917703