Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line (Q1048062)
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scientific article; zbMATH DE number 5655484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line |
scientific article; zbMATH DE number 5655484 |
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Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line (English)
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11 January 2010
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For the boundary value problem \[ iq_t+q_{xx}+2|q|^2 q=0,\; x,t>0, \] \[ q(x,0)=q_0(x),\; q(0,t)= ae^{i\alpha}e^{2i\omega t}, \] the asymptotic behavior of the solution is studied. The main tool is the asymptotic analysis of an associated matrix Riemann-Hilbert problem.
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nonlinear equations
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long-time asymptotics
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0.9813423
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