International Journal of Nonlinear Analysis and Applications

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

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International Journal of Nonlinear Analysis and Applications
Volume 12, Special Issue
December 2021
Pages 709-718
  • Receive Date: 14 July 2020
  • Revise Date: 28 November 2020
  • Accept Date: 19 December 2020