Solitons and Other Solutions to Perturbed Rosenau KdV RLW Equation with Power Law Nonlinearity

نویسندگان

  • P. Sanchez
  • G. Ebadi
  • A. Mojaver
  • M. Mirzazadeh
  • M. Eslami
  • A. Biswas
چکیده

Solitons and Other Solutions to Perturbed Rosenau KdV RLW Equation with Power Law Nonlinearity P. Sanchez, G. Ebadi, A. Mojaver, M. Mirzazadeh, M. Eslami and A. Biswas Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA Department of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah-21589, Saudi Arabia (Received January 13, 2015; in nal form April 30, 2015) 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 nally 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

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تاریخ انتشار 2015