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

DOI

10.2991/jnmp.1995.2.3-4.13How to use a DOI?

Abstract

Using the subgroup structure of the generalized Poincaré group P(1, 4), ansatzes which reduce the Euler­Lagrange­Born­Infeld, multidimensional Monge­Ampere and eikonal equations to differential equations with fewer independent variables have been constructed. Among these ansatzes there are ones which reduce the considered equations to linear ordinary differential 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.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Vasyl Fedorchuk
PY  - 1995
DA  - 1995/09/01
TI  - Symmetry Reduction and Exact Solutions of the Euler­Lagrange­Born­Infeld, Multidimensional Monge­Ampere and Eikonal Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 329
EP  - 333
VL  - 2
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1995.2.3-4.13
DO  - 10.2991/jnmp.1995.2.3-4.13
ID  - Fedorchuk1995
ER  -