Nonlinear guided waves: Preface

This special issue presents a collection of experimental and theoretical research in nonlinear waves, with emphasis on nonlinear optics, which were presented at the conference Nonlinear Guided Waves VIII held at the Hotel Victoria, Oaxaca, Mexico in April 2016. This preface provides a short history of the conference series Nonlinear Guided Waves and short introductions to the contributed papers which puts them in context.

[1]  William E. Schiesser,et al.  Linear and nonlinear waves , 2009, Scholarpedia.

[2]  Gaetano Assanto,et al.  Discrete light localization in one-dimensional nonlinear lattices with arbitrary nonlocality. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  G. Whitham,et al.  Non-linear dispersive waves , 1965, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[4]  Marco Peccianti,et al.  Nonlocal spatial soliton interactions in nematic liquid crystals. , 2002, Optics letters.

[5]  D. Korteweg,et al.  On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves , 2011 .

[6]  James P. Gordon,et al.  Experimental observation of picosecond pulse narrowing and solitons in optical fibers (A) , 1980 .

[7]  Michał Matuszewski,et al.  Spatial solitons and light-induced instabilities in colloidal media. , 2008, Optics express.

[8]  G. B. Whitham,et al.  Nonlinear Dispersive Waves , 1966 .

[9]  George Gabriel Stokes,et al.  On the theory of oscillatory waves , 2009 .

[10]  Gennady El,et al.  Modulational instability and formation of a nonlinear oscillatory structure in a “focusing” medium , 1993 .

[11]  Akira Hasegawa,et al.  Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion , 1973 .

[12]  C. S. Gardner,et al.  Method for solving the Korteweg-deVries equation , 1967 .

[13]  Yuri S. Kivshar,et al.  Optical Solitons: From Fibers to Photonic Crystals , 2003 .

[14]  G. Whitham.  A general approach to linear and non-linear dispersive waves using a Lagrangian , 1965, Journal of Fluid Mechanics.

[15]  Stefano Longhi,et al.  PT phase control in circular multi-core fibers. , 2016, Optics letters.

[16]  James P. Gordon,et al.  Experimental observation of picosecond pulse narrowing and solitons in optical fibers , 1981 .

[17]  Thomas Brooke Benjamin,et al.  Instability of periodic wavetrains in nonlinear dispersive systems , 1967, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[18]  N. Zabusky,et al.  Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States , 1965 .

[19]  D. Diers,et al.  On waves... , 1992, Image--the journal of nursing scholarship.

[20]  M. Hoefer,et al.  Dispersive shock waves and modulation theory , 2016, 1602.06163.

[21]  T. Brooke Benjamin,et al.  The disintegration of wave trains on deep water Part 1. Theory , 1967, Journal of Fluid Mechanics.