Math @ Duke
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Publications [#303561] of Stephanos Venakides
Papers Published
- Belov, S; Venakides, S, Smooth parametric dependence of asymptotics of the semiclassical focusing NLS,
Analysis and PDE, vol. 8 no. 2
(January, 2015),
pp. 257-288, Mathematical Sciences Publishers [1211.7111v2], [doi]
(last updated on 2024/04/19)
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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