Exact Traveling Wave Solutions of the Gardner Equation by the Improved tanΘϑ-Expansion Method and the Wave Ansatz Method
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Nonlinear partial differential equations (NLPDEs) are an inevitable mathematical tool to explore a large variety of engineering and physical phenomena.
Due to this importance, many mathematical approaches have been established to seek their traveling wave solutions.
In this study, the researchers examine the Gardner equation via two well-known analytical approaches, namely, the improved tanΘϑ-expansion method and the wave ansatz method.
We derive the exact bright, dark, singular, and W-shaped soliton solutions of the Gardner equation.
One can see that the methods are relatively easy and efficient to use.
To better understand the characteristics of the theoretical results, several numerical simulations are carried out.
American Psychological Association (APA)
Günerhan, Hatıra. 2020. Exact Traveling Wave Solutions of the Gardner Equation by the Improved tanΘϑ-Expansion Method and the Wave Ansatz Method. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1196413
Modern Language Association (MLA)
Günerhan, Hatıra. Exact Traveling Wave Solutions of the Gardner Equation by the Improved tanΘϑ-Expansion Method and the Wave Ansatz Method. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1196413
American Medical Association (AMA)
Günerhan, Hatıra. Exact Traveling Wave Solutions of the Gardner Equation by the Improved tanΘϑ-Expansion Method and the Wave Ansatz Method. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1196413
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196413