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Two Reliable Methods for Solving the (3 + 1)-Dimensional Space-Time Fractional Jimbo-Miwa Equation
Joint Authors
Sirisubtawee, Sekson
Koonprasert, Sanoe
Khaopant, Chaowanee
Porka, Wanassanun
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-22
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
We investigate methods for obtaining exact solutions of the (3 + 1)-dimensional nonlinear space-time fractional Jimbo-Miwa equation in the sense of the modified Riemann-Liouville derivative.
The methods employed to analytically solve the equation are the G′/G,1/G-expansion method and the novel G′/G-expansion method.
To the best of our knowledge, there are no researchers who have applied these methods to obtain exact solutions of the equation.
The application of the methods is simple, elegant, efficient, and trustworthy.
In particular, applying the novel G′/G-expansion method to the equation, we obtain more exact solutions than using other existing methods such as the G′/G-expansion method and the exp-Φ(ξ)-expansion method.
The exact solutions of the equation, obtained using the two methods, can be categorized in terms of hyperbolic, trigonometric, and rational functions.
Some of the results obtained by the two methods are new and reported here for the first time.
In addition, the obtained exact explicit solutions of the equation characterize many physical meanings such as soliton solitary wave solutions, periodic wave solutions, and singular multiple-soliton solutions.
American Psychological Association (APA)
Sirisubtawee, Sekson& Koonprasert, Sanoe& Khaopant, Chaowanee& Porka, Wanassanun. 2017. Two Reliable Methods for Solving the (3 + 1)-Dimensional Space-Time Fractional Jimbo-Miwa Equation. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-30.
https://search.emarefa.net/detail/BIM-1192646
Modern Language Association (MLA)
Sirisubtawee, Sekson…[et al.]. Two Reliable Methods for Solving the (3 + 1)-Dimensional Space-Time Fractional Jimbo-Miwa Equation. Mathematical Problems in Engineering No. 2017 (2017), pp.1-30.
https://search.emarefa.net/detail/BIM-1192646
American Medical Association (AMA)
Sirisubtawee, Sekson& Koonprasert, Sanoe& Khaopant, Chaowanee& Porka, Wanassanun. Two Reliable Methods for Solving the (3 + 1)-Dimensional Space-Time Fractional Jimbo-Miwa Equation. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-30.
https://search.emarefa.net/detail/BIM-1192646
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192646