Open AccessAsymptotic stability of small gap solitons in nonlinear Dirac equations
Author(s) -
Dmitry E. Pelinovsky,
Atanas Stefanov
Publication year - 2012
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.4731477
Subject(s) - dirac (video compression format) , nonlinear system , stability (learning theory) , mathematical physics , dirac equation , mathematics , asymptotic analysis , quintic function , dirac algebra , physics , mathematical analysis , quantum mechanics , machine learning , computer science , neutrino
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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