Instabilities via negative Krein signature in a weakly non-Hamiltonian DNLS model

DOI10.3934/mine.2019.2.378zbMath1435.82016arXiv1710.00416OpenAlexW2940754703MaRDI QIDQ2305073

Panayotis G. Kevrekidis

Publication date: 10 March 2020

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00416

zbMATH Keywords

solitary wavesinstabilitiesKrein signatureDNLS model

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) PDEs with randomness, stochastic partial differential equations (35R60) Soliton solutions (35C08) Basic methods in statistical mechanics (82M99)

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Cites Work

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• Asymptotic behavior of solutions of complex discrete evolution equations: the discrete Ginz\-burg-Landau equation
• Multiple dark solitons in Bose-Einstein condensates at finite temperatures
• Stability of discrete solitons in nonlinear Schrödinger lattices
• The world of the complex Ginzburg-Landau equation
• The Defocusing Nonlinear Schrödinger Equation
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems