Open Access
January 2008 Symmetry, integrability and solutions of the Kawahara equation
M. N. Hounkonnou, M. K. Mahaman
Author Affiliations +
SUT J. Math. 44(1): 39-53 (January 2008). DOI: 10.55937/sut/1217621941

Abstract

Integrability and symmetry reductions of the Kawahara equation are investigated. Exact traveling wave solutions, soliton solutions and Galilean invariant solutions are constructed. Auto-Bäcklund transformations and multiplication law of solutions are deduced.

Funding Statement

This work is partially supported by the Abdus Salam International Centre for Theoretical Physics (ICTP, Trieste, Italy) through the Office of External Activities (OEA)-Prj-15. The ICMPA is in partnership with the Daniel Iagolnitzer Foundation (DIF), France.

Acknowledgements

The authors are thankful to the referees for their useful comments which allow them to improve the paper.

Citation

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M. N. Hounkonnou. M. K. Mahaman. "Symmetry, integrability and solutions of the Kawahara equation." SUT J. Math. 44 (1) 39 - 53, January 2008. https://doi.org/10.55937/sut/1217621941

Information

Received: 7 September 2007; Revised: 5 December 2007; Published: January 2008
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1217621941

Subjects:
Primary: 35Q51 , 37K10 , 58J70

Keywords: auto-Bäcklund transformation , integrability , Kawahara equation , soliton , symmetry reduction

Rights: Copyright © 2008 Tokyo University of Science

Vol.44 • No. 1 • January 2008
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