Document Type : Research Paper

Authors

• T. J. Podile ¹
• B. Muatjetjeja ^{2, 3}
• Abdullahi Adem ⁴

¹ Departement 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

This paper aims to study a generalized (2+1)-dimensional Bogoyavlensky-Konopelchenko equation. We perform symmetry reduction and derive exact solutions of a generalized (2+1)-dimensional Bogoyavlensky-Konopelchenko equation. In addition, conservation laws for the underlying equation are constructed.

Keywords

• Symmetry reduction
• Exact solutions
• Conservation laws