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Asymptotic stability of small gap solitons in nonlinear Dirac equations
Pelinovsky, Dmitry E. Stefanov, Atanas G.
Pelinovsky, Dmitry E.
Stefanov, Atanas G.
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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.
Date
2012-07-10
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Publisher
American Institute of Physics
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Keywords
Dirac equation, Eigenvalues, Inequalities, Operator theory, Polynomials
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.