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G. G. Cheng and J. Zhang, “Remark on Global Existence for the Superetitical Nonlinear Shrodinger Equation with a Harmonic Potential,” Journal of Mathematical Analysis and Applications, Vol. 320, No. 2, 2006, pp. 591-598. doi:10.1016/j.jmaa.2005.07.008

has been cited by the following article:

• TITLE: Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations

  AUTHORS: Ning Chen, Jiqian Chen

  KEYWORDS: Nonlinear Schrodinger Equation; Eigen-Function Method; Fractional Order; Blow-Up; Glabal Attractor

  JOURNAL NAME: Applied Mathematics, Vol.3 No.12, December 17, 2012

  ABSTRACT: In this paper, the authors study the blow-up of solution for a class of nonlinear Schrodinger equation for some initial boundary problem. On the other hand, the authors give out some analyses and that new conclusion by Eigen-function method. In last section, the authors check the nonlinear parameter for light rule power by using of parameter method to get ground state and excite state correspond case, and discuss the global attractor of some fraction order case, and combine numerical test. To illustrate this physics meaning in dimension d = 1, 2 case. So, by numerable solution to give out these wave expression.