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Award ID contains: 2350225

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  1. ; ; (, Nonlinearity)
    Abstract We prove that the small-data scattering map uniquely determines the nonlinearity for a wide class of gauge-invariant, intercritical nonlinear Schrödinger equations. We use the Born approximation to reduce the analysis to a deconvolution problem involving the distribution function for linear Schrödinger solutions. We then solve this deconvolution problem using the Beurling–Lax Theorem. 
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    Free, publicly-accessible full text available December 30, 2025
  2. (, Nonlinear Differential Equations and Applications NoDEA)
    We discuss averaging for dispersion-managed nonlinear Schrödinger equations in the fast dispersion management regime,with an application to the problem of constructing soliton-like solutions to dispersion-managed nonlinear Schrödinger equations. 
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    Full Text Available 
  3. ; (, Discrete and Continuous Dynamical Systems)
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