Soliton Solutions of a General Rosenau-Kawahara-RLW Equation

A New Conservative Difference Scheme for the General Rosenau-RLW Equation

A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theorem. It is proved by the discrete energy method that the scheme is uniquely solvable, unconditionally stable, and second-order convergent. Numerical examples show the efficiency of the scheme.

Numerical solution of General Rosenau-RLW Equation using Quintic B-splines Collocation Method

In this paper a numerical method is proposed to approximate the solution of the nonlinear general Rosenau-RLW Equation. The method is based on collocation of quintic B-splines over finite elements so that we have continuity of the dependent variable and its first four derivatives throughout the solution range. We apply quintic B-splines for spatial variable and derivatives which produce a syste...

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

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 Technol...

Numerical Simulation for General Rosenau-RLW Equation: An Average Linearized Conservative Scheme

Soliton Perturbation Theory for the Generalized Kawahara Equation

Department of Physics and Pre-Engineering Center for Research and Education in Optical Sciences and Applications Delaware State University, Dover, DE 19901-2277, USA Abstract The adiabatic parameter dynamics of solitons, due to the generalized Kawahara equation are obtained in this paper. The soliton perturbation theory is exploited to obtain the results. Also, the change in the velocity is obt...