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Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid

Through this article, we focus on the extension of travelling wave solutions for a prevalent nonlinear pseudo-parabolic physical Oskolkov model for Kevin-Voigt fluids by using two integral techniques. First of all, we explore the bifurcation and phase portraits of the model for different parametric...

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Main Authors:	Uddin, Sabur, Karim, Shazia, Alshammari, Fahad Sameer, Roshid, Harun-Or, Noor, Noor Fadiya Mohd, Hoque, Fazlul, Nadeem, Muhammad, Akguel, Ali
Format:	Article
Published:	Mathematical Problems in Engineering 2022
Subjects:	QA Mathematics TA Engineering (General). Civil engineering (General)
Online Access:	http://eprints.um.edu.my/41084/
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spelling	my.um.eprints.410842023-08-30T06:32:39Z http://eprints.um.edu.my/41084/ Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid Uddin, Sabur Karim, Shazia Alshammari, Fahad Sameer Roshid, Harun-Or Noor, Noor Fadiya Mohd Hoque, Fazlul Nadeem, Muhammad Akguel, Ali QA Mathematics TA Engineering (General). Civil engineering (General) Through this article, we focus on the extension of travelling wave solutions for a prevalent nonlinear pseudo-parabolic physical Oskolkov model for Kevin-Voigt fluids by using two integral techniques. First of all, we explore the bifurcation and phase portraits of the model for different parametric conditions via a dynamical system approach. We derive smooth waves of the bright bell and dark bell, periodic waves, and singular waves of dark and bright cusps, in correspondence to homoclinic, periodic, and open orbits with cusp, respectively. Each orbit of the phase portraits is envisaged through various energy states. Secondly, with the help of a prevalent unified scheme, an inventive version of exact analytic solutions comprising hyperbolic, trigonometric, and rational functions can be invented with some collective parameters. The unified scheme is an excitably auspicious method to procure novel interacting travelling wave solutions and to obtain multipeaked bright and dark solitons, shock waves, bright bell waves with single and double shocks, combo waves of the bright-dark bell and dark-bright bell with a shock, dark bell into a double shock wave, and bright-dark multirogue type wave solutions of the model. The dynamics of the procured nonlinear wave solutions are also presented through 2-D, 3-D, and density plots with specified parameters. Mathematical Problems in Engineering 2022-09 Article PeerReviewed Uddin, Sabur and Karim, Shazia and Alshammari, Fahad Sameer and Roshid, Harun-Or and Noor, Noor Fadiya Mohd and Hoque, Fazlul and Nadeem, Muhammad and Akguel, Ali (2022) Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid. Mathematical Problems in Engineering, 2022. ISSN 1024-123X, DOI https://doi.org/10.1155/2022/8227124 <https://doi.org/10.1155/2022/8227124>. 10.1155/2022/8227124
institution	Universiti Malaya
building	UM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaya
content_source	UM Research Repository
url_provider	http://eprints.um.edu.my/
topic	QA Mathematics TA Engineering (General). Civil engineering (General)
spellingShingle	QA Mathematics TA Engineering (General). Civil engineering (General) Uddin, Sabur Karim, Shazia Alshammari, Fahad Sameer Roshid, Harun-Or Noor, Noor Fadiya Mohd Hoque, Fazlul Nadeem, Muhammad Akguel, Ali Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid
description	Through this article, we focus on the extension of travelling wave solutions for a prevalent nonlinear pseudo-parabolic physical Oskolkov model for Kevin-Voigt fluids by using two integral techniques. First of all, we explore the bifurcation and phase portraits of the model for different parametric conditions via a dynamical system approach. We derive smooth waves of the bright bell and dark bell, periodic waves, and singular waves of dark and bright cusps, in correspondence to homoclinic, periodic, and open orbits with cusp, respectively. Each orbit of the phase portraits is envisaged through various energy states. Secondly, with the help of a prevalent unified scheme, an inventive version of exact analytic solutions comprising hyperbolic, trigonometric, and rational functions can be invented with some collective parameters. The unified scheme is an excitably auspicious method to procure novel interacting travelling wave solutions and to obtain multipeaked bright and dark solitons, shock waves, bright bell waves with single and double shocks, combo waves of the bright-dark bell and dark-bright bell with a shock, dark bell into a double shock wave, and bright-dark multirogue type wave solutions of the model. The dynamics of the procured nonlinear wave solutions are also presented through 2-D, 3-D, and density plots with specified parameters.
format	Article
author	Uddin, Sabur Karim, Shazia Alshammari, Fahad Sameer Roshid, Harun-Or Noor, Noor Fadiya Mohd Hoque, Fazlul Nadeem, Muhammad Akguel, Ali
author_facet	Uddin, Sabur Karim, Shazia Alshammari, Fahad Sameer Roshid, Harun-Or Noor, Noor Fadiya Mohd Hoque, Fazlul Nadeem, Muhammad Akguel, Ali
author_sort	Uddin, Sabur
title	Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid
title_short	Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid
title_full	Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid
title_fullStr	Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid
title_full_unstemmed	Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid
title_sort	bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic kelvin-voigt fluid
publisher	Mathematical Problems in Engineering
publishDate	2022
url	http://eprints.um.edu.my/41084/
_version_	1776247432881897472
score	13.244745

Bifurcation analysis of travelling waves and multi-rogue wave solutions for a nonlinear pseudo-parabolic model of visco-elastic Kelvin-Voigt fluid

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