Lie Symmetries, Self-Adjointness, and Conservation Laws of the Mong-Ampere Equation

Subject Areas : Mathematical Engineering

Zahra Momennezhad ¹ , Mahdi Najafikhah ^{2 *}

1 - دانشگاه آزاد اسلامی کرج
2 - دانشگاه آزاد اسلامی کرج

Received: 2022-08-25 Accepted : 2022-12-31 Published : 2022-09-01

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.