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

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DOI: 10.4236/am.2012.312263    7,213 Downloads   9,626 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

N. Chen and J. Chen, "Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations," Applied Mathematics, Vol. 3 No. 12, 2012, pp. 1921-1932. doi: 10.4236/am.2012.312263.

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