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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Vydáno v:Alexandria engineering journal Ročník 61; číslo 10; s. 7987 - 7994
Hlavní autoři: Ahmed, Manar S., Zaghrout, Afaf A.S., Ahmed, Hamdy M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.10.2022
Elsevier
Témata:
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
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Shrnutí: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