Self-Similar Solutions for Nonlinear Schrödinger Equations
We study the self-similar solutions for nonlinear Schrödinger type equations of higher order with nonlinear term |u|αu by a scaling technique and the contractive mapping method. For some admissible value α, we establish the global well-posedness of the Cauchy problem for nonlinear Schrödinger equat...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2009-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2009/298980 |