Dark-bright discrete solitons: a numerical study of existence, stability and dynamics

DOI10.1016/J.PHYSD.2010.12.006zbMath1222.37076arXiv1012.3976OpenAlexW2016009720MaRDI QIDQ633750

Francisco R. Romero, Jesús Cuevas, A. Alvarez, Panayotis G. Kevrekidis

Publication date: 29 March 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3976

zbMATH Keywords

stabilizationHopf bifurcationsolitonsdiscrete nonlinear Schrödinger equationsdark solitonsManakov modeleigenmode spectrum

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices

Cites Work

• Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit
• The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
• Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
• Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays
• Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation
• A dark-bright optical soliton solution to the coupled nonlinear Schrödinger equation

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