For the coupled complex short pulse equation, long-time solutions split into self-symmetric solitons or composite breathers plus t^{-1/2} radiation, with O(t^{-1} ln t) errors, while the opposite sector decays as O(t^{-1}).
Long-time Asymptotics for the NLS equation via dbar methods
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We present a new method for obtaining sharp asymptotics of solutions of the defocussing nonlinear Schr\"odinger (NLS) equation, based on dbar methods and under essentially minimal regularity assumptions on initial data.
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Soliton resolution for the coupled complex short pulse equation
For the coupled complex short pulse equation, long-time solutions split into self-symmetric solitons or composite breathers plus t^{-1/2} radiation, with O(t^{-1} ln t) errors, while the opposite sector decays as O(t^{-1}).