Solitons and Other Solutions to Perturbed Rosenau KdV RLW Equation with Power Law Nonlinearity
نویسندگان
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
منابع مشابه
Solitons, Shock Waves and Conservation Laws of Rosenau-KdV-RLW Equation with Power Law Nonlinearity
This paper obtains solitary waves, shock waves and singular solitons alon with conservation laws of the Rosenau Kortewegde Vries regularized long wave (R-KdV-RLW) equation with power law nonlinearity that models the dynamics of shallow water waves. The ansatz approach and the semi-inverse variational principle are used to obtain these solutions. The constraint conditions for the existence of so...
متن کاملTopological exact soliton solution of the power law KdV equation
This paper obtains the exact 1-soliton solution of the perturbed Korteweg-de Vries equation with power law nonlinearity. The topological soliton solutions are obtained. The solitary wave ansatz is used to carry out this integration. The domain restrictions are identified in the process and the parameter constraints are also obtained. It has been proved that topological solitons exist only when ...
متن کاملUnconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation
In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in...
متن کاملSome traveling wave solutions of soliton family
Solitons are ubiquitous and exist in almost every area from sky to bottom. For solitons to appear, the relevant equation of motion must be nonlinear. In the present study, we deal with the Korteweg-deVries (KdV), Modied Korteweg-de Vries (mKdV) and Regularised LongWave (RLW) equations using Homotopy Perturbation method (HPM). The algorithm makes use of the HPM to determine the initial expansion...
متن کاملExtended trial equation method to generalized nonlinear partial differential equations
In this article, we give the extended trial equation method for solving nonlinear partial differential equations with higher order nonlinearity. By use of this method, the exact travel-ing wave solutions including soliton solution, singular soliton solutions, rational function solution and elliptic integral function solution to one-dimensional general improved KdV (GIKdV) equation and Rðm; nÞ e...
متن کامل