On nonlinear equations connected with six-dimensional Plebanski space

TL;DR

This paper explores nonlinear Monge-Ampere equations related to a six-dimensional generalization of Plebanski space, constructing particular solutions to these complex equations.

Contribution

It introduces specific Monge-Ampere equations linked to six-dimensional Plebanski space and provides explicit particular solutions, expanding understanding of higher-dimensional geometric equations.

Findings

Constructed particular solutions to the equations

Connected equations with six-dimensional Plebanski space

Enhanced understanding of nonlinear equations in higher dimensions

Abstract

An examples of Monge-Ampere equations connected with six-dimensional generalization of the Plebanski four-dimensional space are considered. Their particular solutions are constructed.