Exact Solutions and Conservation Laws of the Bogoyavlenskii Equation

• Authors: M. Inc , M. Hashemi , A. Isa Aliyu
• Languages of publication: EN

Abstracts

EN

In this paper, the Lie symmetry analysis method is performed for a Bogoyavlenskii equation. The symmetries and exact invariant solutions for the equation are retrieved for the first time. The conservation laws of the Bogoyavlenskii equation are constructed using the conservation laws theorem introduced by Ibragimov.

Keywords

EN

02.30.Ik; 02.30.Jr; 47.35.Fg

Discipline

• 02.30.Ik: Integrable systems
• 47.35.Fg: Solitary waves
• 02.30.Jr: Partial differential equations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 5
• Pages: 1133-1137

Dates

published

2018-05

received

2016-10-26

(unknown)

2018-01-04

Contributors

author

M. Inc

• Department of Applied Mathematics, Firat University Turkey, 23119 Elazig, Turkey

author

M. Hashemi

• Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab 55517, Iran

author

A. Isa Aliyu

• Department of Applied Mathematics, Firat University Turkey, 23119 Elazig, Turkey

Identifiers

DOI

10.12693/APhysPolA.133.1133