Math @ Duke
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Publications [#226701] of Stephanos Venakides
Papers Published
- Sergey Belov and Stephanos Venakides, Smooth parametric dependence of asymptotics of the semiclassical focusing NLS,
Analysis & PDE, vol. 8 no. 2
(April, 2015),
pp. 257-288 [doi]
(last updated on 2015/07/17)
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.
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