LIE SYMMETRIES, SELF-ADJOINTNESS, AND CONSERVATION LAWS OF THE MONG-AMPERE EQUATION
Subject Areas : Mathematical Engineering
زهرا
مومن نژاد
1
(دانشگاه آزاد اسلامی کرج)
مهدی
نجفی خواه
2
(دانشگاه آزاد اسلامی کرج)
Keywords: Mong-Ampere equation Lie point symmetry Partial Differential Equations Conservation laws, Conserved vectors,
Abstract :
‎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.