A Modified Numerical Scheme for the Cubic Schrodinger Equation

作者：Bratsos A G^*

来源：Numerical Methods for Partial Differential Equations, 2011, 27(3): 608-620.

DOI：10.1002/num.20541

• finite-difference method
• predictor-corrector
• Schrodinger equation
• soliton

A numerical scheme based on the use of rational approximants in a two-time level recurrence relation is applied to the cubic Schrodinger equation. The resulting nonlinear finite-difference scheme, which is analyzed for stability, is solved using an already known modified predictor-corrector (MPC) scheme. The efficiency of the proposed method is tested to the single and the double-soliton waves and the results arising from the experiments are compared with the relevant ones known in the available bibliography. c 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 608-620, 2011

• 出版日期2011-5