Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the G′G2-Expansion Method
Joint Authors
Sirisubtawee, Sekson
Koonprasert, Sanoe
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-03
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We apply the G′/G2-expansion method to construct exact solutions of three interesting problems in physics and nanobiosciences which are modeled by nonlinear partial differential equations (NPDEs).
The problems to which we want to obtain exact solutions consist of the Benny-Luke equation, the equation of nanoionic currents along microtubules, and the generalized Hirota-Satsuma coupled KdV system.
The obtained exact solutions of the problems via using the method are categorized into three types including trigonometric solutions, exponential solutions, and rational solutions.
The applications of the method are simple, efficient, and reliable by means of using a symbolically computational package.
Applying the proposed method to the problems, we have some innovative exact solutions which are different from the ones obtained using other methods employed previously.
American Psychological Association (APA)
Sirisubtawee, Sekson& Koonprasert, Sanoe. 2018. Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the G′G2-Expansion Method. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1119277
Modern Language Association (MLA)
Sirisubtawee, Sekson& Koonprasert, Sanoe. Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the G′G2-Expansion Method. Advances in Mathematical Physics No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1119277
American Medical Association (AMA)
Sirisubtawee, Sekson& Koonprasert, Sanoe. Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the G′G2-Expansion Method. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1119277
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119277