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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.
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.