Staff Members - Benha University
The Solution of the Regularized Long Wave Equation Using the Fourier Leap-Frog Method
Z. Naturforsch. • 2010
Publication Information
Authors
Hany N. Hassan; Hassan K. Saleh
Keywords
Fourier Spectral Method; Fast Fourier Transform; Leap-Frog Method; RLW Equation;
Nonlinear Waves.
Journal
Z. Naturforsch.
Publisher
Not Available
Volume
65a
Issue
Not Available
Pages
305 – 314
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
An efficient numerical method is developed for solving nonlinear wave equations by studying
the propagation and stability properties of solitary waves (solitons) of the regularized long wave
(RLW) equation in one space dimension using a combination of leap frog for time dependence and
a pseudospectral (Fourier transform) treatment of the space dependence. Our schemes follow very
accurately these solutions, which are given by simple closed formulas. Studying the interaction of
two such solitons and three solitary waves interaction for the RLW equation. Our implementation
employs the fast Fourier transform (FFT) algorithm.
the propagation and stability properties of solitary waves (solitons) of the regularized long wave
(RLW) equation in one space dimension using a combination of leap frog for time dependence and
a pseudospectral (Fourier transform) treatment of the space dependence. Our schemes follow very
accurately these solutions, which are given by simple closed formulas. Studying the interaction of
two such solitons and three solitary waves interaction for the RLW equation. Our implementation
employs the fast Fourier transform (FFT) algorithm.