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Two New Simple Multi-Symplectic Schemes for the Nonlinear Schrödinger Equation

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2008 Chinese Physical Society and IOP Publishing Ltd
, , Citation Wang Yu-Shun et al 2008 Chinese Phys. Lett. 25 1538 DOI 10.1088/0256-307X/25/5/005

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wangyushun@njnu.edu.cn

Author affiliations

1 School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097

2 Department of Mathematics, Chuzhou University, Chuzhou 239000

Dates

  1. Received 14 August 2007
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0256-307X/25/5/1538

Abstract

We investigate the multi-symplectic Euler-box scheme for the nonlinear Schrödinger equation. Two new simple semi-explicit scheme are derived. A composition scheme based on the new derived schemes is also discussed. Some numerical results are reported to illustrate the efficiency of the new schemes.

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