Volume 22, Issue 4
A Multi-Symplectic Scheme for RLW Equation

Ya-juan Sun & Meng-zhao Qin

DOI:

J. Comp. Math., 22 (2004), pp. 611-621

Published online: 2004-08

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  • 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 equa- tion. 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.

  • Keywords

Multi-Symplectic Scheme RLW Equation

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@Article{JCM-22-611, author = {}, title = {A Multi-Symplectic Scheme for RLW Equation}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {4}, pages = {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 equa- tion. 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.}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10310.html} }
TY - JOUR T1 - A Multi-Symplectic Scheme for RLW Equation JO - Journal of Computational Mathematics VL - 4 SP - 611 EP - 621 PY - 2004 DA - 2004/08 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10310.html KW - Multi-Symplectic Scheme KW - RLW Equation AB - 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 equa- tion. 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.
Ya-juan Sun & Meng-zhao Qin. (1970). A Multi-Symplectic Scheme for RLW Equation. Journal of Computational Mathematics. 22 (4). 611-621. doi:
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