89 citations · 264 across the 48 of their papers we have counts for
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math.AP2014★ 23 cited
On asymptotic stability of N-solitons of the defocusing nonlinear Schrodinger equation
Scipio Cuccagna, Robert Jenkins
We consider the Cauchy problem for the Gross-Pitaevskii (GP) equation. Using the DBAR generalization of the nonlinear steepest descent method of Deift and Zhou we derive the leadin…
math.AP2014
On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential
Scipio Cuccagna, Mirko Tarulli
We consider a Dirac operator with short range potential and with eigenvalues. We add a nonlinear term and we show that the small standing waves of the corresponding nonlinear Dirac…
math.AP2014
On weak interaction between a ground state and a trapping potential
Scipio Cuccagna, Masaya Maeda
We study the interaction of a ground state with a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because…