Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation
Aly R. Seadawy
1
,
S. U. Rehman
2
,
Muhammad Younis
2
,
Syed Tahir Raza Rizvi
3
,
Saad Althobaiti
4
,
M M Makhlouf
4
Publication type: Journal Article
Publication date: 2021-01-28
scimago Q2
wos Q2
SJR: 0.388
CiteScore: 3.1
Impact factor: 2.6
ISSN: 00318949, 14024896
Atomic and Molecular Physics, and Optics
Condensed Matter Physics
Mathematical Physics
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 Φ6-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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104
Total citations:
104
Citations from 2024:
20
(19%)
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GOST
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Seadawy A. R. et al. Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation // Physica Scripta. 2021. Vol. 96. No. 4. p. 45202.
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Seadawy A. R., Rehman S. U., Younis M., Rizvi S. T. R., Althobaiti S., Makhlouf M. M. Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation // Physica Scripta. 2021. Vol. 96. No. 4. p. 45202.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1088/1402-4896/abdcf7
UR - https://doi.org/10.1088/1402-4896/abdcf7
TI - Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation
T2 - Physica Scripta
AU - Seadawy, Aly R.
AU - Rehman, S. U.
AU - Younis, Muhammad
AU - Rizvi, Syed Tahir Raza
AU - Althobaiti, Saad
AU - Makhlouf, M M
PY - 2021
DA - 2021/01/28
PB - IOP Publishing
SP - 45202
IS - 4
VL - 96
SN - 0031-8949
SN - 1402-4896
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{2021_Seadawy,
author = {Aly R. Seadawy and S. U. Rehman and Muhammad Younis and Syed Tahir Raza Rizvi and Saad Althobaiti and M M Makhlouf},
title = {Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation},
journal = {Physica Scripta},
year = {2021},
volume = {96},
publisher = {IOP Publishing},
month = {jan},
url = {https://doi.org/10.1088/1402-4896/abdcf7},
number = {4},
pages = {45202},
doi = {10.1088/1402-4896/abdcf7}
}
Cite this
MLA
Copy
Seadawy, Aly R., et al. “Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation.” Physica Scripta, vol. 96, no. 4, Jan. 2021, p. 45202. https://doi.org/10.1088/1402-4896/abdcf7.
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