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Solitary waves in discrete media with four-wave mixing

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Publication:2903731
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DOI10.1103/PhysRevE.73.066601zbMath1244.35117arXivnlin/0509044OpenAlexW1965252435WikidataQ48435200 ScholiaQ48435200MaRDI QIDQ2903731

Rudy L. Horne, Panayotis G. Kevrekidis, Nathaniel Whitaker

Publication date: 12 August 2012

Published in: Physical Review E (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0509044

zbMATH Keywords

solitary wavesdiscrete media


Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)


Related Items

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



Cites Work

  • Breathers in nonlinear lattices: existence, linear stability and quantization
  • On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation
  • Stability of discrete solitons in nonlinear Schrödinger lattices
  • Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays
  • Nonlinear dynamics and statistical physics of DNA
  • VORTICES IN BOSE–EINSTEIN CONDENSATES: SOME RECENT DEVELOPMENTS
  • Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
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