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

Ning Chen, Jiqian Chen

School of Science, Southwest University of Science and Technology, Mianyang, China.

**DOI: **10.4236/am.2012.312263
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School of Science, Southwest University of Science and Technology, Mianyang, China.

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.

Keywords

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

Share and Cite:

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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