Multiple closed form wave solutions to the KdV and modified KdV equations through the rational (G G)-expansion method
Joint Authors
Islam, Tarikul
Azad, Abu al-Kalam
Akbar, M. Ali
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 24, Issue 0 (31 Oct. 2017), pp.160-168, 9 p.
Publisher
University of Bahrain College of Science
Publication Date
2017-10-31
Country of Publication
Bahrain
No. of Pages
9
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
The purpose of this article is to generate the closed form traveling wave solutions of some nonlinear partial differential equations namely; the KdV equation and the modified KdV equation using the recently established rational (G0/G)-expansion method.
By this method, new and further general closed form solutions expressed by three types of functions as for instance hyperbolic, trigonometric and rational function solutions are found.
The basic ideas presented in this article and the obtained solutions might be useful to analyze the shallow water waves, ion acoustic waves in plasma, acoustic waves on a crystal lattice and the role of nonlinear dispersion in the formation of structures like liquid drops.
American Psychological Association (APA)
Islam, Tarikul& Akbar, M. Ali& Azad, Abu al-Kalam. 2017. Multiple closed form wave solutions to the KdV and modified KdV equations through the rational (G G)-expansion method. Arab Journal of Basic and Applied Sciences،Vol. 24, no. 0, pp.160-168.
https://search.emarefa.net/detail/BIM-760809
Modern Language Association (MLA)
Islam, Tarikul…[et al.]. Multiple closed form wave solutions to the KdV and modified KdV equations through the rational (G G)-expansion method. Arab Journal of Basic and Applied Sciences Vol. 24 (Oct. 2017), pp.160-168.
https://search.emarefa.net/detail/BIM-760809
American Medical Association (AMA)
Islam, Tarikul& Akbar, M. Ali& Azad, Abu al-Kalam. Multiple closed form wave solutions to the KdV and modified KdV equations through the rational (G G)-expansion method. Arab Journal of Basic and Applied Sciences. 2017. Vol. 24, no. 0, pp.160-168.
https://search.emarefa.net/detail/BIM-760809
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 167-168
Record ID
BIM-760809