Asymptotic stability of small gap solitons in nonlinear Dirac equations

Pelinovsky, Dmitry E.; Stefanov, Atanas G.

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Issue Date

2012-07-10

Author

Pelinovsky, Dmitry E.

Stefanov, Atanas G.

Publisher

American Institute of Physics

Type

Article

Article Version

Scholarly/refereed, publisher version

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Abstract

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.

Description

This is the published version, also available here: http://dx.doi.org/10.1063/1.4731477.

Citation

Pelinovsky, Dmitry E. & Stefanov, Atanas. "Asymptotic stability of small gap solitons in nonlinear Dirac equations." J. Math. Phys. 53, 073705 (2012); http://dx.doi.org/10.1063/1.4731477.

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