Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis
In this paper, we interrogate the optical soliton solutions of three-dimensional fractional Wazwaz Benjamin Bona Mahony (WBBM) equation. With a new auxiliary equation scheme, we form the solitary wave solitons of the considered model. By using this methodology, the acquired solutions conduct a range...
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doaj-5373b4227f89465cac0a5d5d4ae2be962021-06-01T04:22:33ZengElsevierResults in Physics2211-37972021-06-0125104171Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysisNauman Raza0Adil Jhangeer1Riaz Ur Rahman2Asma Rashid Butt3Yu-Ming Chu4Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanDepartment of Mathematics, Namal Institute, 30KM Talagang Road, Mianwali 42250, PakistanDepartment of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanDepartment of Mathematics, University of Engineering and Technology, Lahore, PakistanDepartment of Mathematics, Huzhou University, Huzhou 31300, PR China; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, PR China; Corresponding author.In this paper, we interrogate the optical soliton solutions of three-dimensional fractional Wazwaz Benjamin Bona Mahony (WBBM) equation. With a new auxiliary equation scheme, we form the solitary wave solitons of the considered model. By using this methodology, the acquired solutions conduct a range of the new families. These new classes of solutions include bright, dark, dark-bright, dark singular, singular and unique solutions. The predicted solutions are yielded with constraint conditions and portrayed through 2D and 3D plots by taking suitable values of parameters. There is a comparative study being showed among the two proposed definitions of Beta and the Atangana-Baleanu fractional derivatives. A comprehensive sensitivity analysis of the WBBM equation is mentioned. There is also a quantitative overview including its solutions to the problem under consideration, derived using different interpretations of derivative.http://www.sciencedirect.com/science/article/pii/S221137972100320XSoliton solutionsNew auxiliary equation methodSensitive analysisAtangana-Baleanu fractional derivativeBeta derivative |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nauman Raza Adil Jhangeer Riaz Ur Rahman Asma Rashid Butt Yu-Ming Chu |
spellingShingle |
Nauman Raza Adil Jhangeer Riaz Ur Rahman Asma Rashid Butt Yu-Ming Chu Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis Results in Physics Soliton solutions New auxiliary equation method Sensitive analysis Atangana-Baleanu fractional derivative Beta derivative |
author_facet |
Nauman Raza Adil Jhangeer Riaz Ur Rahman Asma Rashid Butt Yu-Ming Chu |
author_sort |
Nauman Raza |
title |
Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis |
title_short |
Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis |
title_full |
Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis |
title_fullStr |
Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis |
title_full_unstemmed |
Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis |
title_sort |
sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: a comparative analysis |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2021-06-01 |
description |
In this paper, we interrogate the optical soliton solutions of three-dimensional fractional Wazwaz Benjamin Bona Mahony (WBBM) equation. With a new auxiliary equation scheme, we form the solitary wave solitons of the considered model. By using this methodology, the acquired solutions conduct a range of the new families. These new classes of solutions include bright, dark, dark-bright, dark singular, singular and unique solutions. The predicted solutions are yielded with constraint conditions and portrayed through 2D and 3D plots by taking suitable values of parameters. There is a comparative study being showed among the two proposed definitions of Beta and the Atangana-Baleanu fractional derivatives. A comprehensive sensitivity analysis of the WBBM equation is mentioned. There is also a quantitative overview including its solutions to the problem under consideration, derived using different interpretations of derivative. |
topic |
Soliton solutions New auxiliary equation method Sensitive analysis Atangana-Baleanu fractional derivative Beta derivative |
url |
http://www.sciencedirect.com/science/article/pii/S221137972100320X |
work_keys_str_mv |
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