In this paper, the nonlinear dispersion wave model in both 1D and 2D is studied by the
compact finite difference method, which is called the generalized Rosenau–RLW equation …

In this paper, a fourth-order compact and energy conservative difference scheme for three-
dimensional Rosenau-RLW equation is proposed. The scheme is a two-level and nonlinear …

A mass-preserving scheme, a nonlinear algorithm based on modification of a finite
difference method to the Rosenau-RLW equation, is proposed subject to homogeneous …

This paper studies the asymptotic behavior of a solution of dispersive shallow water waves
modeled by coupling the Rosenau-RLW equation and the Rosenau-Burgers equation. The …

In the present work, a new implicit fourth-order energy conservative finite difference scheme
is proposed for solving the generalized Rosenau–Kawahara-RLW equation. We first design …

In this paper, we present a class of high-order linearly implicit energy-conserving schemes
for solving the generalized Rosenau-type equation. We firstly reformulate the equation into a …

The efficient and accurate Legendre Galerkin spectral element method is proposed for the
generalized Rosenau-type equations. Our primary contribution lies in the innovative …

This study is dedicated to the matrix analysis method for discrete functionals in higher-order
compact difference scheme. This matrix analysis is actually an analysis of the operator …

. This study implemented a collocation nite element method based on septic B-splines as a
tool to obtain the numerical solutions of the nonlinear generalized RosenauRLW equation …

The main objective of this study is to find novel wave solutions for the time-fractional
generalized Rosenau-Kawahara-RLW equation, which occurs in unidirectional water wave …