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Closed-form travelling wave solutions to the nonlinear space-time fractional coupled Burgers' equation
Joint Authors
Islam, M. Tarikul
Azad, M. Abu al-Kalam
Akbar, M. Ali
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 26, Issue 1 (30 Apr. 2019), pp.1-11, 11 p.
Publisher
University of Bahrain College of Science
Publication Date
2019-04-30
Country of Publication
Bahrain
No. of Pages
11
Main Subjects
Topics
Abstract EN
Fractional order nonlinear evolution equations play important roles to give a depiction of the complex physical phenomena of real world.
The main aim of this article is to extract exact ana-lytic solutions to the space-time fractional coupled Burgers’ equation in the sense of conformable fractional derivative.
A suitable composite transformation is implemented to reduce the considered equation into an ordinary differential equation of fractional order.
Then a new approach, called the rational fractional (DJG/G)-expansion method, the Exp-function method and the extended tanh method, is employed to construct the closed-form solutions.
This effort makes available the travelling wave solutions in terms of hyperbolic function, trigonometric function and rational function, which are found to be newer and more general than the existing results in the literature.
The proposed method is highly efficient and may further be used to invstigate entirely new solutions to many other fractional evolution equations.
American Psychological Association (APA)
Islam, M. Tarikul& Akbar, M. Ali& Azad, M. Abu al-Kalam. 2019. Closed-form travelling wave solutions to the nonlinear space-time fractional coupled Burgers' equation. Arab Journal of Basic and Applied Sciences،Vol. 26, no. 1, pp.1-11.
https://search.emarefa.net/detail/BIM-862074
Modern Language Association (MLA)
Islam, M. Tarikul…[et al.]. Closed-form travelling wave solutions to the nonlinear space-time fractional coupled Burgers' equation. Arab Journal of Basic and Applied Sciences Vol. 26, no. 1 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-862074
American Medical Association (AMA)
Islam, M. Tarikul& Akbar, M. Ali& Azad, M. Abu al-Kalam. Closed-form travelling wave solutions to the nonlinear space-time fractional coupled Burgers' equation. Arab Journal of Basic and Applied Sciences. 2019. Vol. 26, no. 1, pp.1-11.
https://search.emarefa.net/detail/BIM-862074
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 10-11
Record ID
BIM-862074