Lie Symmetries, Self-Adjointness, and Conservation Laws of the Mong-Ampere Equation
محورهای موضوعی : Mathematical EngineeringZahra Momennezhad 1 , Mahdi Najafikhah 2
1 - دانشگاه آزاد اسلامی کرج
2 - دانشگاه آزاد اسلامی کرج
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.
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.
