Title of article :
On the exact solutions and conservation laws of a generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity
Author/Authors :
Mbusi, Sivenathi Department of Mathematical Sciences - North - West University Private, Mmabatho, Republic of South Africa , Muatjetjeja, Ben Department of Mathematics - Faculty of Science - University of Botswana, Gaborone, Botswana , Adem, A. R. Department of Mathematical Sciences - University of South Africa, Republic of South Africa
Abstract :
In this paper, a generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity is examined, which arises in numerous problems in nonlinear science. The computed conservation laws reside in enormously crucial areas both at the foundations of nonlinear science such as biology, physics and other related areas. Exact solutions are acquired using the Lie symmetry method. In addition to exact solutions, we also present conservation laws. The arbitrary functions in the multipliers lead to infinitely many conservation laws.
Keywords :
A generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity , Lie symmetry method , Conservation laws
Journal title :
International Journal of Nonlinear Analysis and Applications
