摘要
Split-step Padémethod and split-step fourier method are applied to the higher- order nonlinear Schrdinger equation.It is proved that a combination of Padé scheme and spectral method is the most effective method,which has a spectral-like resolution and good stability nature.In particular,we propose an unconditional stable implicit Padé scheme to solve odd order nonlinear equations.Numerical results demonstrate the excellent performance of Padé schemes for high order nonlinear equations.
Split-step Padé method and split-step fourier method are applied to the higher-order nonlinear Schrodinger equation. It is proved that a combination of Padé scheme and spectral method is the most effective method, which has a spectral-like resolution and good stability nature. In particular, we propose an unconditional stable implicit Padé scheme to solve odd order nonlinear equations. Numerical results demonstrate the excellent performance of Padé schemes for high order nonlinear equations.
基金
This work is supported by the National Natural Science Foundations of Chinese under grant Nos, 10371118 and 90411009.
关键词
傅立叶方法
非线性微波传播
分散转移
计算机理论
Split-step Padé method
split-step fourier method
Padé scheme
spectral method
nonlinear equations
