Abstract
In this paper, we have approached a complicated nonlinear wave equation which links the Rosenau-Kawahara equation to the regularized long wave (RLW) equation. Taking advantages from the sine-cosine method as well as from the generalized auxiliary equation method, we have successfully reached to three types of traveling wave solutions: periodic, hyperbolic and exponential ones. Our results do constitute themselves as a challenge to apply the mentioned techniques in order to solve other generalized dynamical models, for example, the ones which involve phenomena such as a fully nonlinear dispersion and a fully nonlinear convection.
| Original language | English |
|---|---|
| Pages (from-to) | 539-551 |
| Number of pages | 13 |
| Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
| Volume | 23 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 1 Jun 2022 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021 Walter de Gruyter GmbH, Berlin/Boston.
Keywords
- generalized Rosenau-Kawahara-RLW equation
- symbolic computation
- traveling wave solutions
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Computational Mechanics
- Modeling and Simulation
- Engineering (miscellaneous)
- Mechanics of Materials
- General Physics and Astronomy
- Applied Mathematics
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