Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physics
In this paper, the new 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations newly announced are investigated with the introduction of the spatial and sequential fractional-order derivatives expending in the sense of conformable derivative. Several solutions containing hyperbolic and trigonomet...
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doaj-b15261ca83864b238d6a46499f0419502020-12-25T05:08:47ZengElsevierResults in Physics2211-37972020-12-0119103517Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physicsAbdulla - Al - Mamun0Tianqing An1Nur Hasan Mahmud Shahen2Samsun Nahar Ananna3 Foyjonnesa4Mohammad Farhad Hossain5Tasiu Muazu6Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China; Department of Mathematics, Islamic University, Kushtia 7003, Bangladesh; Corresponding author at: Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China.Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR ChinaDepartment of Mathematics, European University of Bangladesh, Dhaka 1216, BangladeshDepartment of Mathematics, Islamic University, Kushtia 7003, BangladeshDepartment of Mathematics, European University of Bangladesh, Dhaka 1216, BangladeshDepartment of Electrical Engineering, College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, PR ChinaDepartment of Mathematics, College of Science, Hohai University, Nanjing 210098, PR ChinaIn this paper, the new 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations newly announced are investigated with the introduction of the spatial and sequential fractional-order derivatives expending in the sense of conformable derivative. Several solutions containing hyperbolic and trigonometric function solutions are created using the modified extended tanh-function (mETF) method. The productivity of the mETF process for building these solutions has been established. This method decreases the large volume of calculations. With the assist of computational software MALAB, the solutions' graphical exemplifications are illustrated in three-dimension (3D) and two-dimension (2D) plot. All plots represent the absolute wave configurations through the obtained solutions to the mentioned equation, preferring suitable parameters. Moreover, it may conclude that the attained solutions and their physical features might help comprehend the shallow water wave propagation in nonlinear dynamics.http://www.sciencedirect.com/science/article/pii/S2211379720319689Modified extended tanh-function methodWazwaz-Benjamin-Bona-Mahony (WBBM) equationConformable derivativeTravelling wave solutionMathematical physics |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Abdulla - Al - Mamun Tianqing An Nur Hasan Mahmud Shahen Samsun Nahar Ananna Foyjonnesa Mohammad Farhad Hossain Tasiu Muazu |
spellingShingle |
Abdulla - Al - Mamun Tianqing An Nur Hasan Mahmud Shahen Samsun Nahar Ananna Foyjonnesa Mohammad Farhad Hossain Tasiu Muazu Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physics Results in Physics Modified extended tanh-function method Wazwaz-Benjamin-Bona-Mahony (WBBM) equation Conformable derivative Travelling wave solution Mathematical physics |
author_facet |
Abdulla - Al - Mamun Tianqing An Nur Hasan Mahmud Shahen Samsun Nahar Ananna Foyjonnesa Mohammad Farhad Hossain Tasiu Muazu |
author_sort |
Abdulla - Al - Mamun |
title |
Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physics |
title_short |
Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physics |
title_full |
Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physics |
title_fullStr |
Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physics |
title_full_unstemmed |
Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physics |
title_sort |
exact and explicit travelling-wave solutions to the family of new 3d fractional wbbm equations in mathematical physics |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2020-12-01 |
description |
In this paper, the new 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations newly announced are investigated with the introduction of the spatial and sequential fractional-order derivatives expending in the sense of conformable derivative. Several solutions containing hyperbolic and trigonometric function solutions are created using the modified extended tanh-function (mETF) method. The productivity of the mETF process for building these solutions has been established. This method decreases the large volume of calculations. With the assist of computational software MALAB, the solutions' graphical exemplifications are illustrated in three-dimension (3D) and two-dimension (2D) plot. All plots represent the absolute wave configurations through the obtained solutions to the mentioned equation, preferring suitable parameters. Moreover, it may conclude that the attained solutions and their physical features might help comprehend the shallow water wave propagation in nonlinear dynamics. |
topic |
Modified extended tanh-function method Wazwaz-Benjamin-Bona-Mahony (WBBM) equation Conformable derivative Travelling wave solution Mathematical physics |
url |
http://www.sciencedirect.com/science/article/pii/S2211379720319689 |
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