2022/08/25 by Zahra Momennezhad, Momennezhad, Zahra, Mahdi Najafikhah +1
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Mong-Ampere equation Lie point symmetry Partial Differential Equations Conservation laws #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics # Conserved vectors
paper · doi:10.82521/ijo.2022.1018896
openalex publication_date 2022/08/25 · openalex created_date 2025/12/27 · openalex updated_date 2026/07/07
This paper addresses an extended 2-dimensional Mong-Ampere equation By the Lie method. The symmetries of Mong-Ampere equation are found and the method of non-linear self-adjointness is applied to the considered equation. By applying Ibragimov’s method and Noether operators the infinite set of conservation laws associated with the finite algebra of Lie point symmetry of the Mong-Ampere equation is extracted. The corresponding conserved quantities are computed from their respective densities.