Smooth parametric dependence of asymptotics of the semiclassical focusing NLS

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.

arXiv comment28 pages, 4 figures

References in corpus (2)

• Nonlinear steepest descent asymptotics for semiclassical limit of integrable systems: Continuation in the parameter space
• Long-time limit studies of an obstruction in the g-function mechanism for semiclassical focusing NLS

Cited by in corpus (1)

• Long-time limit studies of an obstruction in the g-function mechanism for semiclassical focusing NLS