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Using the subgroup structure of the generalized Poincare group P(1,4), ansatzes which reduce the Euler-Lagrange-Born-Infeld, multidimensional Monge-Ampere and eikonal equations to dierential equations with fewer independent variables have been constructed. Among these ansatzes there are ones which reduce the considered equa- tions to linear ordinary dierential equations. The corresponding symmetry reduction has been done. Using the solutions of the reduced equations, some classes of exact solutions of the investigated equation have been presented.

Symmetry Reduction and Exact Solutions of the Euler­Lagrange­Born­Infeld, Multidimensional Monge­Ampere and Eikonal Equations

Symmetry Reduction and Exact Solutions of the EulerLagrangeBornInfeld, Multidimensional MongeAmpere and Eikonal Equations