Colloquium: Nonlinear metamaterials

M Lapine, IV Shadrivov, YS Kivshar - Reviews of Modern Physics, 2014 - APS
This Colloquium presents an overview of the research on nonlinear electromagnetic
metamaterials. The developed theoretical approaches and experimental designs are …

Models of few optical cycle solitons beyond the slowly varying envelope approximation

H Leblond, D Mihalache - Physics Reports, 2013 - Elsevier
In the past years there was a huge interest in experimental and theoretical studies in the
area of few-optical-cycle pulses and in the broader fast growing field of the so-called …

Non-linear waves in lattices: past, present, future

PG Kevrekidis - IMA Journal of Applied Mathematics, 2011 - academic.oup.com
In the present work, we attempt a brief summary of various areas where non-linear waves
have been emerging in the phenomenology of lattice dynamical systems. These areas …

Nonlinear optics of intense few-cycle pulses: A overview of recent theoretical and experimental developments

DJ Frantzeskakis, H Leblond… - Romanian Journal of …, 2014 - univ-angers.hal.science
Nonlinear optics of intense few-cycle pulses: A overview of recent theoretical and experimental
developments Page 1 HAL Id: hal-03204347 https://univ-angers.hal.science/hal-03204347 …

Inverse scattering transform for the complex short-pulse equation by a Riemann–Hilbert approach

B Prinari, AD Trubatch, BF Feng - The European Physical Journal Plus, 2020 - Springer
In this paper, we develop the inverse scattering transform (IST) for the complex short-pulse
equation (CSP) on the line with zero boundary conditions at space infinity. The work extends …

Backward-wave propagation and discrete solitons in a left-handed electrical lattice

LQ English, SG Wheeler, Y Shen, GP Veldes… - Physics Letters A, 2011 - Elsevier
We study experimentally, analytically and numerically the backward-wave propagation, and
formation of discrete bright and dark solitons in a nonlinear electrical lattice. We observe …

On the solutions for an Ostrovsky type equation

GM Coclite, L di Ruvo - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
On the solutions for an Ostrovsky type equation - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

[HTML][HTML] Wave-speed management of dipole, bright and W-shaped solitons in optical metamaterials

H Triki, VI Kruglov - Optics Communications, 2023 - Elsevier
Wave-speed management of soliton pulses in a nonlinear metamaterial exhibiting a rich
variety of physical effects that are important in a wide range of practical applications, is …

A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations

HH Sheng, BF Feng, GF Yu - Journal of Nonlinear Science, 2024 - Springer
In this paper, we propose fully discrete analogues of a generalized sine-Gordon (gsG)
equation u tx= 1+ ν∂ x 2 sin u. The key points of the construction are based on the bilinear …

Chirped periodic and solitary waves in nonlinear negative index materials

H Triki, VI Kruglov - Optics Communications, 2022 - Elsevier
Propagation of ultrashort pulses at least a few tens of optical cycles in duration through a
negative index material is investigated theoretically based on the generalized nonlinear …