Abstract
We consider the one-dimensional focusing (cubic) nonlinear Schrödinger equation (NLS) in the semiclassical limit with exponentially decaying complex-valued initial data, whose phase is multiplied by a real parameter. We prove smooth dependence of the asymptotic solution on the parameter. Numerical results supporting our estimates of important quantities are presented.
Citation
Sergey Belov. Stephanos Venakides. "Smooth parametric dependence of asymptotics of the semiclassical focusing NLS." Anal. PDE 8 (2) 257 - 288, 2015. https://doi.org/10.2140/apde.2015.8.257
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