Travelling wave solutions for the doubly dispersive equation using improved modified extended tanh-function method

In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method. Theses solutions are bright, dark and bright-dark combo soliton solution...

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Bibliographic Details
Published in:	Alexandria engineering journal Vol. 61; no. 10; pp. 7987 - 7994
Main Authors:	Ahmed, Manar S., Zaghrout, Afaf A.S., Ahmed, Hamdy M.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.10.2022 Elsevier
Subjects:	Doubly dispersive equation Improved modified extended tanh-function method Jacobi elliptic solutions Solitons Jacobi elliptic solutions Doubly dispersive equation Improved modified extended tanh-function method Solitons
ISSN:	1110-0168
Online Access:	Get full text
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Summary:	In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method. Theses solutions are bright, dark and bright-dark combo soliton solutions. Also, hyperbolic type solutions, singular periodic wave solutions, Jacobi elliptic function solutions, exponential solutions and Weierstrass elliptic doubly periodic solutions are obtained. Some of these solutions are reported in this paper for first time, namely, dark solitons, Jacobi elliptic function solutions and Weierstrass elliptic doubly periodic solutions. Furthermore, 3D graphs of some solutions are introduced for illustrating the physical interpretation.
ISSN:	1110-0168
DOI:	10.1016/j.aej.2022.01.057