Travelling wave solutions for some nonlinear evolution equationsTravelling wave solutions for some nonlinear evolution equations
- Other Titles
- Travelling wave solutions for some nonlinear evolution equations
- Authors
- 김현수[김현수]; 최진혁[최진혁]
- Issue Date
- 2015
- Publisher
- 강원경기수학회
- Keywords
- Exact traveling wave solutions; Novikov equation; Qeng-Xue coupled equation; Generalized Riccati quation.
- Citation
- 한국수학논문집, v.23, no.1, pp.11 - 27
- Indexed
- KCI
- Journal Title
- 한국수학논문집
- Volume
- 23
- Number
- 1
- Start Page
- 11
- End Page
- 27
- URI
- https://scholarworks.bwise.kr/skku/handle/2021.sw.skku/45312
- DOI
- 10.11568/kjm.2015.23.1.11
- ISSN
- 1976-8605
- Abstract
- Nonlinear partial differential equations are more suitable to model many physical phenomena in science and engineering. In this paper, we consider three nonlinear partial differential equations such as Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation which serves as a model for the unidirectional propagation of the shallow water waves over a flat bottom. The main objective in this paper is to apply the generalized Riccati equation mapping method for obtaining more exact traveling wave solutions of Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation. More precisely, the obtained solutions are expressed in terms of the hyperbolic, the trigonometric and the rational functional form. Solutions obtained are potentially significant for the explanation of better insight of physical aspects of the considered nonlinear physical models.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - Science > Department of Mathematics > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/skku/handle/2021.sw.skku/45312)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.