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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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Keywords:
- direct perturbation method/
- perturbation/
- perturbed N-component nonlinear Schr dinger equation/
- asymptotical solution
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