Solitons and Other Solutions to Perturbed Rosenau-KdV-RLW Equation with Power Law Nonlinearity |
| P. Sanchez a, G. Ebadi b, A. Mojaver b, M. Mirzazadeh c, M. Eslami d and A. Biswasa,e
aDepartment of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA bDepartment of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran cDepartment of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran dDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran eDepartment of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah-21589, Saudi Arabia |
| Received: January 13, 2015; in final form April 30, 2015 |
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| This paper obtains solitons and other solutions to the perturbed Rosenau-KdV-RLW equation that is used to model dispersive shallow water waves. This equation is taken with power law nonlinearity in this paper. There are several integration tools that are adopted to solve this equation. These are Kudryashov method, sine-cosine function method, G'/G-expansion scheme and finally the exp-function approach. Solitons and other solutions are obtained along with several constraint conditions that naturally emerge from the structure of these solutions. |
DOI: 10.12693/APhysPolA.127.1577 PACS numbers: 05.45.Yv, 02.30.Jr |