Document Type : Research Paper

Authors

• Sivenathi Mbusi ¹
• Ben Muatjetjeja ^{2, 3}
• A. R. Adem ⁴

¹ Department of Mathematical Sciences North-West University Private Bag X 2046, Mmabatho 2735 Republic of South Africa

² Department of Mathematical Sciences, North-West University Private Bag X 2046 Mmabatho 2735, Republic of South Africa

³ Department of Mathematics Faculty of Science, University of Botswana Private Bag 22, Gaborone, Botswana

⁴ Department of Mathematical Sciences, University of South Africa, UNISA 0003, 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