Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation
In this article, propagation of solitary wave solutions to the Pochhammer-Chree equation(PC) are investigated. Different kinds of solutions like bright-dark, kink, singular, hyperbolic, rational, trigonometric as well as Jacobi elliptic function solutions are obtained. The innovative methodology use...
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| Published in | Physica scripta Vol. 96; no. 4; pp. 45202 - 45215 |
|---|---|
| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
01.04.2021
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0031-8949 1402-4896 |
| DOI | 10.1088/1402-4896/abdcf7 |
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| Abstract | In this article, propagation of solitary wave solutions to the Pochhammer-Chree equation(PC) are investigated. Different kinds of solutions like bright-dark, kink, singular, hyperbolic, rational, trigonometric as well as Jacobi elliptic function solutions are obtained. The innovative methodology used to extract the solitary wave is known as Φ
6
-model expansion method. Moreover, the modulation instability (MI) analysis of governing equation is also discussed. Against the appropriate choices of parameters, two and three dimensional and contour graphs are also sketched. The obtained outcomes are more general and fresh and show that the applied method is concise, direct, elementary and can be imposed in more complex phenomena with the assistant of symbolic computations. |
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| AbstractList | In this article, propagation of solitary wave solutions to the Pochhammer-Chree equation(PC) are investigated. Different kinds of solutions like bright-dark, kink, singular, hyperbolic, rational, trigonometric as well as Jacobi elliptic function solutions are obtained. The innovative methodology used to extract the solitary wave is known as Φ
6
-model expansion method. Moreover, the modulation instability (MI) analysis of governing equation is also discussed. Against the appropriate choices of parameters, two and three dimensional and contour graphs are also sketched. The obtained outcomes are more general and fresh and show that the applied method is concise, direct, elementary and can be imposed in more complex phenomena with the assistant of symbolic computations. |
| Author | Makhlouf, M M Rehman, S U Seadawy, Aly R Rizvi, S T R Althobaiti, Saad Younis, M |
| Author_xml | – sequence: 1 givenname: Aly R orcidid: 0000-0002-7412-4773 surname: Seadawy fullname: Seadawy, Aly R organization: Taibah University Mathematics Department, Faculty of science, Al-Madinah Al-Munawarah, Saudi Arabia – sequence: 2 givenname: S U surname: Rehman fullname: Rehman, S U organization: University of the Punjab PUCIT, Lahore 54000, Pakistan – sequence: 3 givenname: M surname: Younis fullname: Younis, M organization: University of the Punjab PUCIT, Lahore 54000, Pakistan – sequence: 4 givenname: S T R surname: Rizvi fullname: Rizvi, S T R organization: COMSATS University Department of Mathematics, Islamabad, Lahore Campus, Lahore Pakistan – sequence: 5 givenname: Saad surname: Althobaiti fullname: Althobaiti, Saad organization: Taif University Technology and Science Department, Ranyah University Collage, P.O. Box 11099, Taif 21944, Saudi Arabia – sequence: 6 givenname: M M surname: Makhlouf fullname: Makhlouf, M M organization: Taif University Technology and Science Department, Ranyah University Collage, P.O. Box 11099, Taif 21944, Saudi Arabia |
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| Title | Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation |
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