Journal of Nonlinear Mathematical Physics

Volume 2, Issue 3-4, September 1995, Pages 329 - 333

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

Authors
Vasyl FEDORCHUK
Corresponding Author
Vasyl FEDORCHUK
Available Online 19 December 2006.
DOI
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
2 - 3
Pages
329 - 333
Publication Date
2006/12
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1995.2.3-4.13How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Vasyl FEDORCHUK
PY  - 2006
DA  - 2006/12
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  - https://doi.org/10.2991/jnmp.1995.2.3-4.13
ID  - FEDORCHUK2006
ER  -