LIE SYMMETRIES‎, ‎SELF-ADJOINTNESS, AND CONSERVATION LAWS OF THE MONG-AMPERE EQUATION‎

محورهای موضوعی : Mathematical Engineering

Zahra Momennezhad ¹ , Mahdi Najafikhah ²

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

تاریخ دریافت : 1401/06/03 تاریخ پذیرش : 1401/10/10 تاریخ انتشار : 1401/06/10

کلید واژه: Mong-Ampere equation‎ Lie point symmetry‎ Partial Differential Equations‎ Conservation laws‎, ‎ Conserved vectors,

چکیده مقاله :

‎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.

چکیده انگلیسی:

‎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.