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arxiv: 1008.4514 · v1 · pith:RSRP6X5Qnew · submitted 2010-08-26 · 🧮 math-ph · math.MP

Asymptotic stability of small gap solitons in the nonlinear Dirac equations

classification 🧮 math-ph math.MP
keywords diracnonlinearasymptoticequationsprovesmallsolitonsstability
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We prove dispersive decay estimates for the one-dimensional Dirac operator and use them to prove asymptotic stability of small gap solitons in the nonlinear Dirac equations with quintic and higher-order nonlinear terms.

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