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Analytical Method for Solving the Fractional Order Generalized KdV Equation by a Beta-Fractional Derivative
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-04
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The present work is related to solving the fractional generalized Korteweg-de Vries (gKdV) equation in fractional time derivative form of order α.
Some exact solutions of the fractional-order gKdV equation are attained by employing the new powerful expansion approach by using the beta-fractional derivative which is used to get many solitary wave solutions by changing various parameters.
The obtained solutions include three classes of soliton wave solutions in terms of hyperbolic function, trigonometric function, and rational function solutions.
The obtained solutions and the exact solutions are shown graphically, highlighting the effects of nonlinearity.
Some of the nonlinear equations arise in fluid dynamics and nonlinear phenomena.
American Psychological Association (APA)
Bagheri, Majid& Khani, Ali. 2020. Analytical Method for Solving the Fractional Order Generalized KdV Equation by a Beta-Fractional Derivative. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1127539
Modern Language Association (MLA)
Bagheri, Majid& Khani, Ali. Analytical Method for Solving the Fractional Order Generalized KdV Equation by a Beta-Fractional Derivative. Advances in Mathematical Physics No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1127539
American Medical Association (AMA)
Bagheri, Majid& Khani, Ali. Analytical Method for Solving the Fractional Order Generalized KdV Equation by a Beta-Fractional Derivative. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1127539
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127539