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Soliton Dynamics for the Cubic-Quintic Nonlinear Schrödinger Equation with a Potential
We study the semiclassical dynamics of solitary waves for the three-dimensional cubic--quintic nonlinear Schrödinger equation with an external potential. For initial data given by a modulated free ground state $P_ω$, we prove that the wave-packet center follows the associated classical Hamiltonian f
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