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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| Vydané v: | Alexandria engineering journal Ročník 61; číslo 10; s. 7987 - 7994 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier B.V
01.10.2022
Elsevier |
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| ISSN: | 1110-0168 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Ahmed, Hamdy M. Ahmed, Manar S. Zaghrout, Afaf A.S. |
| Author_xml | – sequence: 1 givenname: Manar S. surname: Ahmed fullname: Ahmed, Manar S. organization: Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt – sequence: 2 givenname: Afaf A.S. surname: Zaghrout fullname: Zaghrout, Afaf A.S. organization: Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt – sequence: 3 givenname: Hamdy M. surname: Ahmed fullname: Ahmed, Hamdy M. organization: Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt |
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| Keywords | Jacobi elliptic solutions Doubly dispersive equation Improved modified extended tanh-function method Solitons |
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| Title | Travelling wave solutions for the doubly dispersive equation using improved modified extended tanh-function method |
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