Optical Solitons: From Fibers to Photonic Crystals

By Yuri Kivshar, Govind P. Agrawal. 2003

3,318 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8680ac446e7f2fc55cd1f0f0a4910a6031c6fb86

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Citations in the corpus

Nonlinear switching and solitons in PT‐symmetric photonic systems (2015, background): “System (29) supports two types of soliton solutions: symmetric and antisymmetric [82, 83], termed by analogy with conservative systems (when γ = 0) [17].”
Light propagation in composite materials with gain layers (2012, unknown): “At present, the non-linear optics of PCs is a rapidly developing field, and the results of investigations in this field are considered, e.g., in [84, 100, 101].”
Frontiers in multidimensional self-trapping of nonlinear fields and matter (2019, background): “ical fluids and superfluids, plasmas, nonlinear dynamical lattices, superconductors, semiconductors, magnetic materials, electronics, hadron matter (considered in terms of the field theory), etcetera [1, 2, 3]. In the vast majority of cases, experimental observations of solitons have been reported o”
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions (2017, background): “ial value problem with rapidly decaying data on the line. arXiv:1712.09172v1 [nlin.SI] 26 Dec 2017 2 The NLS and coupled NLS equations arise in a variety of physical contexts such as nonlinear optics [8, 9, 10, 11, 12], Bose-Einstein condensates [13], water waves [14, 15] and plasma physics [16], am”
Integrable nonlocal nonlinear Schrödinger equation. (2013, background): “Furthermore, in nonlinear optics the integrable cubic nonlinear Schrödinger (NLS) equation is a key equation describing optical wave propagation in Kerr media [4,5].”
Polariton polarization-sensitive phenomena in planar semiconductor microcavities (2009, methodology): “From the mathematical point of view the Gross–Pitaevskii equation is equivalent to the nonlinear Schrödinger equation, used in nonlinear optics (Shen 2001) for the description of self-focusing and soliton propagation (Kivshar and Agrawal 2003).”
(INVITED) Vortex solitons: Old results and new perspectives (2019, background): “(5), as it governs the evolution of the monochromatic wave in the spatial domain [2].”