Volume 2, Issue 3-4, September 1995, Pages 329 - 333
Symmetry Reduction and Exact Solutions of the EulerLagrangeBornInfeld, Multidimensional MongeAmpere and Eikonal Equations
Available Online 1 September 1995.
- https://doi.org/10.2991/jnmp.1995.2.3-4.13How to use a DOI?
- 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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Cite this article
TY - JOUR AU - Vasyl FEDORCHUK PY - 1995 DA - 1995/09 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 - FEDORCHUK1995 ER -