On reduction of the (1+3)-dimensional inhomogeneous Monge-Ampère equation to the first-order partial differential equations
Abstract
UDC 512.813:517.957.6
We study a connection between the structural properties of two-dimensional nonconjugate subalgebras of the Lie algebra of the generalized Poincaré group P(1,4) and the results of symmetry reduction for the (1+3)-dimensional inhomogeneous Monge-Ampère equation. Some results concerning of the reduction of the equation under investigation to the first-order PDEs are presented.
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