International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 7, Issue 4 (April 2020), Pages: 103-106

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 Original Research Paper

 Title: Integrability and wave solutions for fifth-order KdV type equation

 Author(s): A. A. Gaber 1, 2, *

 Affiliation(s):

 1Department of Mathematics, College of Science and Humanities at Howtat Sudair, Majmaah University, Majmaah 11952, Saudi Arabia
 2Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0001-6109-8898

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2020.04.013

 Abstract:

Under investigation in this paper is the Kawahara equation, which is one of the fifth-order KdV types of equations. With the help of symbolic computation, we studied the integrability in the Painlevé property. Furthermore, Kruskal's transformation and Bäcklund transformation are used to obtain the exact wave solutions. Two wave solutions are obtained and figured to show the behavior of these solutions. 

 © 2020 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Painlevé property, Wave solutions, Fifth-order KdV type equation

 Article History: Received 21 October 2019, Received in revised form 25 January 2020, Accepted 26 January 2020

 Acknowledgment:

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The authors declare that they have no conflict of interest.

 Citation:

 Gaber AA (2020). Integrability and wave solutions for fifth-order KdV type equation. International Journal of Advanced and Applied Sciences, 7(4): 103-106

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 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 

 Tables

 No Table

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