Asymptotic behavior for a quadratic nonlinear Schrodinger equation
We study the initial-value problem for the quadratic nonlinear Schrodinger equation $$displaylines{ iu_{t}+frac{1}{2}u_{xx}=partial _{x}overline{u}^{2},quad xin mathbb{R},; t>1, cr u(1,x)=u_{1}(x),quad xin mathbb{R}. }$$ For small initial data $u_{1}in mathbf{H}^{2,2}$ we prove that there...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2008-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/15/abstr.html |