The asymptotic stability of solitons in the cubic NLS equation on the line
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🧮 math.DS
math-phmath.APmath.MP
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asymptoticcubicequationsolitonsstabilityauto-backlunddeiftdescent
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We use the inverse scattering transform, the auto-Backlund transformation and the steepest descent method of Deift and Zhou to obtain the asymptotic stability of the solitons in the cubic NLS (nonlinear Schrodinger) equation.
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