Analysis of some new wave solutions of fractional order generalized Pochhammer-chree equation using exp-function method

In an elastic rod the longitudinal deformation wave propagation is modeled by the nonlinear partial differential equation known as the Pochhammer-Chree equation. In this article, a conformable fractional order generalized Pochhammer-Chree equation with the n order term is studied for constructing so...

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Bibliographic Details
Published in:Optical and quantum electronics 2022-11, Vol.54 (11), Article 735
Main Authors: Zulfiqar, Aniqa, Ahmad, Jamshad, Ul-Hassan, Qazi Mahmood
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Computer Communication Networks
Elastic deformation
Electrical Engineering
Exact solutions
Lasers
Nonlinear differential equations
Optical Devices
Optics
Partial differential equations
Photonics
Physics
Physics and Astronomy
Solitary waves
Wave propagation
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Summary:In an elastic rod the longitudinal deformation wave propagation is modeled by the nonlinear partial differential equation known as the Pochhammer-Chree equation. In this article, a conformable fractional order generalized Pochhammer-Chree equation with the n order term is studied for constructing some new analytical solutions by using a proficient analytical technique. The solitary wave solutions are established by using the Exp-function method for the presented model equation describing the longitudinal vibration of the material in a thin, straight cylindrical rod. By considering the different parameter conditions, the existence of different kinds of solitary wave solutions is determined which are also presented in the form of 3D plots, contour plots, and 2D plots to visualize and explicate the physical structure of the problem.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-022-04141-5