Article Contents
Article Contents

The long-time behaviour for nonlinear Schrödinger equation and its rational pseudospectral approximation

• In this paper, we use the Chebyshev rational pseudospectral method to analyze the long-time behavior of Cauchy problem for nonlinear Schrödinger equation (NSE) with weak damping. We obtain the error estimate of approximate solution and prove the existence and weak upper semicontinuity of approximate attractor.
Mathematics Subject Classification: 37M99, 65M70, 65N35.

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