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

Autor: Manar S. Ahmed, Afaf A.S. Zaghrout, Hamdy M. Ahmed
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 61, Iss 10, Pp 7987-7994 (2022)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2022.01.057
Popis: 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.
Databáze: Directory of Open Access Journals