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Dr. Hany Nasr Hassan Mohammed :: Publications: |
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| Title: | The Solution of the Regularized Long Wave Equation Using the Fourier Leap-Frog Method |
| Authors: | Hany N. Hassan; Hassan K. Saleh |
| Year: | 2010 |
| Keywords: | Fourier Spectral Method; Fast Fourier Transform; Leap-Frog Method; RLW Equation; Nonlinear Waves. |
| Journal: | Z. Naturforsch. |
| Volume: | 65a |
| Issue: | Not Available |
| Pages: | 305 – 314 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | 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. |
