Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation
Joint Authors
Yue, Chen
Arshad, Muhammad
Lu, Dianchen
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-20
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The Korteweg-de Vries (KdV) equation, especially the fractional higher order one, provides a relatively accurate description of motions of long waves in shallow water under gravity and wave propagation in one-dimensional nonlinear lattice.
In this article, the generalized exp(-Φ(ξ))-expansion method is proposed to construct exact solutions of space-time fractional generalized fifth-order KdV equation with Jumarie’s modified Riemann-Liouville derivatives.
At the end, three types of exact traveling wave solutions are obtained which indicate that the method is very practical and suitable for solving nonlinear fractional partial differential equations.
American Psychological Association (APA)
Lu, Dianchen& Yue, Chen& Arshad, Muhammad. 2017. Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1123252
Modern Language Association (MLA)
Lu, Dianchen…[et al.]. Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation. Advances in Mathematical Physics No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1123252
American Medical Association (AMA)
Lu, Dianchen& Yue, Chen& Arshad, Muhammad. Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1123252
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123252