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物理学报. 2007, 56(6): 3031-3038.
doi: 10.7498/aps.56.3031.
微扰的耦合非线性薛定谔方程的近似求解
- 收稿日期: 2006-06-09
- 修回日期: 2006-10-13
- 刊出日期: 2007-03-05
摘要: 将直接微扰方法应用于可积的含修正项的非线性薛定谔方程，通过近似解与精确解的比较确定了直接微扰方法的可靠性.继而，将该方法应用于微扰的耦合非线性薛定谔方程，并获得了该微扰方程的可靠的近似解.
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关键词:
- 直接微扰方法 /
- 微扰 /
- 耦合非线性薛定谔方程 /
- 近似解
English Abstract
Asymptotic solutions of perturbed N-component nonlinear Schr?dinger equations
- Received Date:
09 June 2006
- Accepted Date:
13 October 2006
- Published Online:
05 March 2007
Abstract: We apply the direct perturbation method to an integrable nonlinear Schrdinger equation with a correction term to obtain its asymptotic solutions. It is shown that there is a good qualitative agreement between the asymptotic and the exact solutions when ε is small enough. Then the direct perturbation method is applied to the perturbed N-component nonlinear Schrdinger equations and their asymptotical solutions are obtained.
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