Document Type
Article
Publication Date
2020
Digital Object Identifier (DOI)
https://doi.org/10.1155/2020/3714832
Abstract
Nonlinear evolution equations widely describe phenomena in various fields of science, such as plasma, nuclear physics, chemical reactions, optics, shallow water waves, fluid dynamics, signal processing, and image processing. In the present work, the derivation and analysis of Lie symmetries are presented for the time-fractional Benjamin–Bona–Mahony equation (FBBM) with the Riemann–Liouville derivatives. The time FBBM equation is reduced to a nonlinear fractional ordinary differential equation (NLFODE) using its Lie symmetries. These symmetries are derivations using the prolongation theorem. Applying the subequation method, we then use the integrating factor property to solve the NLFODE to obtain a few travelling wave solutions to the time FBBM.
Rights Information
This work is licensed under a Creative Commons Attribution 4.0 License.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Complexity, v. 2020, art. 3714832
Scholar Commons Citation
Ma, Wen-Xiu; Ali, Mohamed R.; and Sadat, R., "Analytical Solutions for Nonlinear Dispersive Physical Model" (2020). Mathematics and Statistics Faculty Publications. 80.
https://digitalcommons.usf.edu/mth_facpub/80
