346 citations · 2k across the 59 of their papers we have counts for
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math.AP2013
Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii Equation
Roy H. Goodman, Jeremy L. Marzuola, Michael I. Weinstein
We study the long-time behavior of solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation (NLS/GP) with a symmetric double-well potential, continuing work of the 2nd an…
math.OC2013★ 20 cited
Long-lived Scattering Resonances and Bragg Structures
Braxton Osting, Michael I. Weinstein
We consider a system governed by the wave equation with index of refraction , taken to be variable within a bounded region , and constant in $\mathbb R^…
math-ph2013★ 15 cited
Homogenized description of defect modes in periodic structures with localized defects
Vincent Duchêne, Iva Vukićević, Michael I. Weinstein
A spatially localized initial condition for an energy-conserving wave equation with periodic coefficients disperses (spatially spreads) and decays in amplitude as time advances. Th…