Vakhitov–Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields

DOI10.1088/0951-7715/28/3/577zbMath1309.35099arXiv1306.5150OpenAlexW2963453059MaRDI QIDQ5244976

Alim Sukhtayev, Gregory Berkolaiko, Andrew Komech

Publication date: 1 April 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5150

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (10)

Transverse instability of line solitary waves in massive Dirac equations ⋮ Nonrelativistic Asymptotics of Solitary Waves in the Dirac Equation with Soler-Type Nonlinearity ⋮ Small amplitude solitary waves in the Dirac-Maxwell system ⋮ Results on the spectral stability of standing wave solutions of the Soler model in 1-D ⋮ Orbital stability of Dirac solitons ⋮ Asymptotic stability of solitary waves in generalized Gross-Neveu model ⋮ Stability of solitary waves for the generalized nonautonomous dual-power nonlinear Schrödinger equations with time-dependent coefficients ⋮ On spectral stability of the nonlinear Dirac equation ⋮ L²orbital stability of Dirac solitons in the massive Thirring model ⋮ Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity

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