| Multi-Symplectic Geometry and Explicit Multi-symplectic Method for Solving Zhiber-Shabat Equation |
| Received:September 23, 2014 Revised:March 04, 2015 |
| Key Words:
the Zhiber-Shabat equation multi-symplectic theory Fourier pseudospectral method local conservation laws
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| Abstract: |
| In the paper, we derive a multi-symplectic Fourier pseudospectral method for Zhiber-Shabat equation. The Zhiber-Shabat equation, which describes many important physical phenomena, has been investigated widely in last several decades. The multi-symplectic geometry and multi-symplectic Fourier pseudospectral method for the Zhiber-Shabat equation is presented. The numerical experiments are given, showing that the multi-symplectic Fourier pseudospectral method is an efficient algorithm with excellent long-time numerical behaviors. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2015.05.008 |
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