On Instability for the Quintic Nonlinear Schrödinger Equation of Some Approximate Periodic Solutions
نویسندگان
چکیده
Using the Fermi Golden Rule analysis developed in [CM], we prove asymptotic stability of asymmetric nonlinear bound states bifurcating from linear bound states for a quintic nonlinear Schrödinger operator with symmetric potential. This goes in the direction of proving that the approximate periodic solutions for the cubic Nonlinear Schrödinger Equation (NLSE) with symmetric potential in [MW] do not persist in the comparable quintic NLSE.
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