Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials

DOI10.1016/j.physleta.2010.01.004zbMath1248.82051arXiv0912.5305OpenAlexW1983410451MaRDI QIDQ455113

Panayotis G. Kevrekidis, Theodoros P. Horikis, Dimitrios J. Frantzeskakis, Nikolaos Leonidas Tsitsas, Nathaniel Whitaker, Yannan Shen

Publication date: 4 October 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.5305

zbMATH Keywords

nonlinear metamaterialsshort pulse equationfrequency band gaps

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of solids (82D20) Waves and radiation in optics and electromagnetic theory (78A40) Soliton solutions (35C08)

Related Items (12)

A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation ⋮ Discontinuous solutions for the short-pulse master mode-locking equation ⋮ Rigorous justification of the short-pulse equation ⋮ Travelling Waves in Nonlinear Magnetic Metamaterials ⋮ Travelling waves in nonlinear magneto-inductive lattices ⋮ Travelling waves in nonlinear lattices ⋮ Unnamed Item ⋮ On the solutions for an Ostrovsky type equation ⋮ On some single-hump solutions of the short-pulse equation and their periodic generalizations ⋮ Well-posedness and small data scattering for the generalized Ostrovsky equation ⋮ A non-local elliptic-hyperbolic system related to the short pulse equation ⋮ On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation

Cites Work

• Unnamed Item
• Propagation of ultra-short optical pulses in cubic nonlinear media
• Optical gap solitons: Past, present, and future; theory and experiments
• Ultra-short pulses in linear and nonlinear media
• Gap solitons in metamaterials
• An integrable shallow water equation with peaked solitons
• Solitary Waves of the Regularized Short Pulse and Ostrovsky Equations
• Solitary wave solutions of the short pulse equation

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