Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum

DOI10.1088/1751-8121/aa8e36zbMath1380.81103arXiv1703.00679OpenAlexW2594694990MaRDI QIDQ4600903

Alejandro B. Aceves, Avadh Saxena, Panayotis G. Kevrekidis, Jesús Cuevas

Publication date: 18 January 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00679

zbMATH Keywords

solitonsdiscrete solitonsnonlinear Dirac equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Soliton solutions (35C08)

Related Items (1)

2D Jackiw-Rebbi and trivial localized states in square interfaced binary waveguide lattices

Cites Work

• The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
• Solitary waves in discrete media with four-wave mixing
• Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays
• Existence, stability and dynamics of discrete solitary waves in a binary waveguide array
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Solitary waves in a discrete nonlinear Dirac equation

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