Mechanical Solving a Few Fractional Partial Differential Equations and Discussing the Effects of the Fractional Order
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-30
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
With the help of Maple, the precise traveling wave solutions of three fractal-order model equations related to water waves, including hyperbolic solutions, trigonometric solutions, and rational solutions, are obtained by using function expansion method.
An isolated wave solution is selected from the solution of each nonlinear dispersive wave model equation, and the influence of fractional order change on these isolated wave solutions is discussed.
The results show that the fractional derivatives can modulate the waveform, local periodicity, and structure of the isolated solutions of the three model equations.
We also point out the construction rules of the auxiliary equations of the extended (G′/G)-expansion method.
In the “The Explanation and Discussion” section, a more generalized auxiliary equation is used to further emphasize the rules, which has certain reference value for the construction of the new auxiliary equations.
The solutions of fractional-order nonlinear partial differential equations can be enriched by selecting other solvable equations as auxiliary equations.
American Psychological Association (APA)
Fan, Kai& Zhou, Cunlong. 2020. Mechanical Solving a Few Fractional Partial Differential Equations and Discussing the Effects of the Fractional Order. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1127371
Modern Language Association (MLA)
Fan, Kai& Zhou, Cunlong. Mechanical Solving a Few Fractional Partial Differential Equations and Discussing the Effects of the Fractional Order. Advances in Mathematical Physics No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1127371
American Medical Association (AMA)
Fan, Kai& Zhou, Cunlong. Mechanical Solving a Few Fractional Partial Differential Equations and Discussing the Effects of the Fractional Order. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1127371
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127371