A Multi-Symplectic Scheme for RLW Equation

A Multi-Symplectic Scheme for RLW Equation

Year:    2004

Author:    Yajuan Sun, Mengzhao Qin

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 611–621

Abstract

The Hamiltonian and multi-symplectic formulations for RLW equation are considered in this paper. A new twelve-point difference scheme which is equivalent to multi-symplectic Preissmann integrator is derived based on the multi-symplectic formulation of RLW equation. And the numerical experiments on solitary waves are also given. Comparing the numerical results for RLW equation with those for KdV equation, the inelastic behavior of RLW equation is shown.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JCM-10310

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 611–621

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Multi-Symplectic Scheme RLW Equation.

Author Details

Yajuan Sun

Mengzhao Qin