A new numerical application of the generalized Rosenau-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...

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

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...

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...