Optimal System and Exact Solutions of Monge-Ampere Equation

Authors

  • Tooba Feroze Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, Pakistan https://orcid.org/0000-0002-2456-6418
  • Mohsin Umair Roots International Schools and Colleges, Kohistan Campus, Wah Cantt., Pakistan

DOI:

https://doi.org/10.26713/cma.v12i4.1516

Keywords:

Lie symmetries, adjoint representations, commutator relation, conjugacy classes, invariant equations

Abstract

A solution that remains unchanged when transformed under Lie group of point symmetries of the differential equation is an invariant solution of the differential equation. Optimal system of Lie group of point symmetry generators provide all possible invariant solutions of differential equation. Here, using optimal system of Lie point symmetry generators group invariant solutions are obtained. Using these solutions, exact solutions of non-homogeneous Monge-Ampere equation have been presented here.

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Published

13-12-2021
CITATION

How to Cite

Feroze, T., & Umair, M. (2021). Optimal System and Exact Solutions of Monge-Ampere Equation. Communications in Mathematics and Applications, 12(4), 825–833. https://doi.org/10.26713/cma.v12i4.1516

Issue

Vol. 12 No. 4 (2021)

Section

Research Article

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