Conservation laws and exact solutions of a generalized (2+1)-dimensional Bogoyavlensky-Konopelchenko equation

Document Type : Research Paper

Authors

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