Analytical Solutions for Nonlinear Dispersive Physical Model
Joint Authors
Ali, Mohamed R.
Sadat, R.
Ma, Wen-Xiu
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ma, Wen-Xiu& Ali, Mohamed R.& Sadat, R.. 2020. Analytical Solutions for Nonlinear Dispersive Physical Model. Complexity،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1141641
Modern Language Association (MLA)
Ma, Wen-Xiu…[et al.]. Analytical Solutions for Nonlinear Dispersive Physical Model. Complexity No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1141641
American Medical Association (AMA)
Ma, Wen-Xiu& Ali, Mohamed R.& Sadat, R.. Analytical Solutions for Nonlinear Dispersive Physical Model. Complexity. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1141641
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141641