Extended hyperbolic function method for the (2 +1)-dimensional nonlinear soliton equation
By employing the extended hyperbolic function method (EHFM), we extract the exact solutions of the (2+1)-dimensional nonlinear soliton equation (SE). A soliton equation is used for investigation of the dynamics of nonlinear waves in plasma physics and fluid dynamics. A various new techniques for fin...
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| Published in | Results in physics Vol. 40; p. 105802 |
|---|---|
| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.09.2022
Elsevier |
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| Abstract | By employing the extended hyperbolic function method (EHFM), we extract the exact solutions of the (2+1)-dimensional nonlinear soliton equation (SE). A soliton equation is used for investigation of the dynamics of nonlinear waves in plasma physics and fluid dynamics. A various new techniques for finding exact solutions of the (2+1)-dimensional nonlinear SE are satisfactorily acquired with the help of EHFM. The EHFM presents various types of new solutions in the form of dark, singular, periodic, bright solitons and some rational function solutions. In addition, for the physical characterization of the acquired solutions of (2+1)-dimensional SE, some 2-dim and 3-dim plots are drawn. The attained results are novel for the considered equation, and results reveal that the method is concise, direct and competent which can be assembled in other complex phenomena.
•By employing the extended hyperbolic function method, the exact solutions of the (2 +1)-dimensional nonlinear soliton equation are obtained.•A soliton equation is used for the investigation of the dynamics of nonlinear waves in plasma physics and fluid dynamics.•For the physical characterization of the acquired solutions of (2+1)-dimensional SE, some 2-dim and 3-dim plots are drawn.•The attained results are novel for the considered equation, and results reveal that the method is concise, direct, and competent which can be assembled in other complex phenomena. |
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| AbstractList | By employing the extended hyperbolic function method (EHFM), we extract the exact solutions of the (2+1)-dimensional nonlinear soliton equation (SE). A soliton equation is used for investigation of the dynamics of nonlinear waves in plasma physics and fluid dynamics. A various new techniques for finding exact solutions of the (2+1)-dimensional nonlinear SE are satisfactorily acquired with the help of EHFM. The EHFM presents various types of new solutions in the form of dark, singular, periodic, bright solitons and some rational function solutions. In addition, for the physical characterization of the acquired solutions of (2+1)-dimensional SE, some 2-dim and 3-dim plots are drawn. The attained results are novel for the considered equation, and results reveal that the method is concise, direct and competent which can be assembled in other complex phenomena. By employing the extended hyperbolic function method (EHFM), we extract the exact solutions of the (2+1)-dimensional nonlinear soliton equation (SE). A soliton equation is used for investigation of the dynamics of nonlinear waves in plasma physics and fluid dynamics. A various new techniques for finding exact solutions of the (2+1)-dimensional nonlinear SE are satisfactorily acquired with the help of EHFM. The EHFM presents various types of new solutions in the form of dark, singular, periodic, bright solitons and some rational function solutions. In addition, for the physical characterization of the acquired solutions of (2+1)-dimensional SE, some 2-dim and 3-dim plots are drawn. The attained results are novel for the considered equation, and results reveal that the method is concise, direct and competent which can be assembled in other complex phenomena. •By employing the extended hyperbolic function method, the exact solutions of the (2 +1)-dimensional nonlinear soliton equation are obtained.•A soliton equation is used for the investigation of the dynamics of nonlinear waves in plasma physics and fluid dynamics.•For the physical characterization of the acquired solutions of (2+1)-dimensional SE, some 2-dim and 3-dim plots are drawn.•The attained results are novel for the considered equation, and results reveal that the method is concise, direct, and competent which can be assembled in other complex phenomena. |
| ArticleNumber | 105802 |
| Author | Yassen, Mansour F. Awan, Aziz Ullah Tag-ElDin, ElSayed M. Haider, Rizwan Alhazmi, Sharifah E. Rehman, Hamood Ur |
| Author_xml | – sequence: 1 givenname: Hamood Ur surname: Rehman fullname: Rehman, Hamood Ur organization: Department of Mathematics, University of Okara, Okara, Pakistan – sequence: 2 givenname: Aziz Ullah orcidid: 0000-0003-3184-3652 surname: Awan fullname: Awan, Aziz Ullah email: aziz.math@pu.edu.pk organization: Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan – sequence: 3 givenname: ElSayed M. surname: Tag-ElDin fullname: Tag-ElDin, ElSayed M. organization: Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt – sequence: 4 givenname: Sharifah E. surname: Alhazmi fullname: Alhazmi, Sharifah E. email: sehazmi@uqu.edu.sa organization: Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia – sequence: 5 givenname: Mansour F. surname: Yassen fullname: Yassen, Mansour F. organization: Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj 11912, Saudi Arabia – sequence: 6 givenname: Rizwan surname: Haider fullname: Haider, Rizwan organization: Department of Mathematics, University of Okara, Okara, Pakistan |
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| Keywords | Nonlinear Soliton equation Extended hyperbolic function method |
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| SubjectTerms | Extended hyperbolic function method Nonlinear Soliton equation |
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| Title | Extended hyperbolic function method for the (2 +1)-dimensional nonlinear soliton equation |
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