Professor Noel Frederick Smyth
University of Edinburgh
United Kingdom
My Publications
Light-Induced Waveguides in Nematic Liquid Crystals
IEEE Journal of Selected Topics in Quantum Electronics
March 2016
Radiating dispersive shock waves in non-local optical media
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
March 2016
Gerald Beresford Whitham. 13 December 1927 — 26 January 2014
Biographical Memoirs of Fellows of the Royal Society
June 2015
Elliptical optical solitary waves in a finite nematic liquid crystal cell
Physica D Nonlinear Phenomena
May 2015
Diffraction-induced instability of coupled dark solitary waves
Optics Letters
April 2015
On optical Airy beams in integrable and non-integrable systems
Wave Motion
January 2015
Spatial optical solitons in highly nonlocal media
Physical Review A
January 2015
Steering of optical solitary waves by coplanar low power beams in reorientational media
Journal of Nonlinear Optical Physics & Materials
December 2014
Nematic liquid crystals: An excellent playground for nonlocal nonlinear light localizat...
Journal of Nonlinear Optical Physics & Materials
December 2014
Comments on “Nonlinear refractive index induced collision and propagation of nematicons...
Journal of Molecular Liquids
November 2014
Exact and approximate solutions for optical solitary waves in nematic liquid crystals
Physica D Nonlinear Phenomena
September 2014
Comments on “Breather-like director reorientations in a nematic liquid crystal with non...
Wave Motion
July 2014
Vortex confinement and bending with nonlocal solitons
Optics Letters
January 2014
Deflection of nematicon-vortex vector solitons in liquid crystals
Physical Review A
January 2014
Optical vortices in antiguides
Optics Letters
May 2013
Comment on “Solitons in highly nonlocal nematic liquid crystals: Variational approach”
Physical Review A
April 2013
Optical solitary waves in thermal media with non-symmetric boundary conditions
Journal of Physics A Mathematical and Theoretical
January 2013
Optical vortex solitary wave in a bounded nematic-liquid-crystal cell
Physical Review A
January 2013
Nematicons
October 2012
Vortices in Nematic Liquid Crystals
October 2012
Theoretical Approaches to Nonlinear Wave Evolution in Higher Dimensions
October 2012
Interaction of Nematicons and Nematicon Clusters
October 2012
APPROXIMATE TECHNIQUES FOR DISPERSIVE SHOCK WAVES IN NONLINEAR MEDIA
Journal of Nonlinear Optical Physics & Materials
September 2012
REFRACTION OF NONLINEAR LIGHT BEAMS IN NEMATIC LIQUID CRYSTALS
Journal of Nonlinear Optical Physics & Materials
September 2012
Refraction and instability of optical vortices at an interface in a liquid crystal
Journal of Physics B Atomic Molecular and Optical Physics
July 2012
Semi-analytical solutions for dispersive shock waves in colloidal media
Journal of Physics B Atomic Molecular and Optical Physics
July 2012
Scattering of reorientational optical solitary waves at dielectric perturbations
Physical Review A
January 2012
Reorientational versus Kerr dark and gray solitary waves using modulation theory
Physical Review E
December 2011
Propagation of optical spatial solitary waves in bias-free nematic-liquid-crystal cells
Physical Review A
October 2011
Modulation analysis of nonlinear beam refraction at an interface in liquid crystals
Physical Review A
September 2011
Lagrange solution for three wavelength solitary wave clusters in nematic liquid crystals
Physica D Nonlinear Phenomena
July 2011
Refraction of nonlinear beams by localized refractive index changes in nematic liquid c...
Physical Review A
November 2010
Solitary wave propagation and steering through light-induced refractive potentials
Physical Review A
June 2010
Stability of an optical vortex in a circular nematic cell
Physical Review A
March 2010
Soliton Steering by Longitudinal Modulation of the Nonlinearity in Waveguide Arrays
Physical Review Letters
February 2010
Optical path control of solitary waves in dye-doped nematic liquid crystals
Photonics Letters of Poland
December 2009
LIGHT SELF-LOCALIZATION IN NEMATIC LIQUID CRYSTALS: MODELLING SOLITONS IN NONLOCAL REOR...
Journal of Nonlinear Optical Physics & Materials
December 2009
Transcritical shallow-water flow past topography: finite-amplitude theory
Journal of Fluid Mechanics
November 2009
Stabilization of vortex-soliton beams in nematic liquid crystals
Physical Review A
June 2009
Interaction of two-color solitary waves in a liquid crystal in the nonlocal regime
Physical Review A
June 2009
Vector vortex solitons in nematic liquid crystals
Optics Letters
April 2009
Modulation analysis of boundary-induced motion of optical solitary waves in a nematic l...
Physical Review A
April 2009
Optical solitary waves escaping a wide trapping potential in nematic liquid crystals: M...
Physical Review A
March 2009
Collisionless shock resolution in nematic liquid crystals
Physical Review A
December 2008
Asymptotic description of solitary wave trains in fully nonlinear shallow-water theory
Physica D Nonlinear Phenomena
October 2008
Modulation analysis of large-scale discrete vortices
Physical Review E
September 2008
Polarization kinetics in ferroelectrics with regard to fluctuations
Modelling and Simulation in Materials Science and Engineering
August 2008
Nonlocal validity of an asymptotic one-dimensional nematicon solution
Journal of Physics A Mathematical and Theoretical
July 2008
Two-color, nonlocal vector solitary waves with angular momentum in nematic liquid crystals
Physical Review A
July 2008
Dipole soliton formation in a nematic liquid crystal in the nonlocal limit
Physica D Nonlinear Phenomena
June 2008
Two-color vector-soliton interactions in nematic liquid crystals in the local response ...
Physical Review A
January 2008
Two-colour nematicon interactions in local crystals
January 2008
Dipole soliton formation in nematic liquid crystals
January 2008
Mathematical modelling of nematicons and their interactions
January 2008
Stabilization of vortex solitons in nonlocal nonlinear media
Physical Review A
December 2007
Modulation solutions for nematicon propagation in nonlocal liquid crystals
Journal of the Optical Society of America B
June 2007
Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS
SIAM Journal on Applied Mathematics
January 2007
Large-amplitude nematicon propagation in a liquid crystal with local response
Journal of the Optical Society of America B
December 2006
Evolution of Benjamin-Ono solitons in the presence of weak Zakharov-Kutznetsov lateral ...
Chaos An Interdisciplinary Journal of Nonlinear Science
December 2006
An undular bore solution for the higher-order Korteweg–de Vries equation
Journal of Physics A Mathematical and General
August 2006
Undular bore solution of the Camassa-Holm equation
Physical Review E
May 2006
Spatial soliton evolution in nematic liquid crystals in the nonlinear local regime
Journal of the Optical Society of America B
February 2006
Unsteady undular bores in fully nonlinear shallow-water theory
Physics of Fluids
February 2006
Evolution of two-dimensional lump nanosolitons for the Zakharov-Kuznetsov and electromi...
Chaos An Interdisciplinary Journal of Nonlinear Science
September 2005
A variational approach to the stability of an embedded NLS soliton at the edge of the c...
Physica D Nonlinear Phenomena
July 2005
Approximate solutions for magmon propagation from a reservoir
IMA Journal of Applied Mathematics
March 2005
One-dimensional fluid diffusion induced by constant-rate flow injection: Theoretical an...
Journal of Geophysical Research Atmospheres
May 2004
Davydov soliton evolution in temperature gradients driven by hyperbolic waves
Physica D Nonlinear Phenomena
April 2004
Evolution of two-dimensional standing and travelling breather solutions for the Sine–Go...
Physica D Nonlinear Phenomena
March 2004
Raman induced destabilisation of asymmetric coupled solitary waves in nonlinear twin-co...
Optics Communications
April 2003
Radiation from a cut-off point in a two layer nonlinear TE mode waveguide
Wave Motion
January 2003
Active TM mode envelope soliton propagation in a nonlinear nematic waveguide
Physica D Nonlinear Phenomena
July 2002
The initial boundary problem for the Korteweg-de Vries equation on the negative quarter...
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
April 2002
Modelling the morning glory of the Gulf of Carpentaria
Journal of Fluid Mechanics
March 2002
Quantum collapse of a small dust shell
Physical Review D
February 2002
Pulse evolution for a two-dimensional Sine-Gordon equation
Physica D Nonlinear Phenomena
November 2001
Pulse evolution in nonlinear optical fibers with sliding-frequency filters
April 2001
Radiative losses due to pulse interactions in birefringent nonlinear optical fibers
February 2001
Active propagation and cut-off for low TM modes in a nonlinear nematic waveguide
Physica D Nonlinear Phenomena
October 2000
Effect of low momentum quantum fluctuations on a coherent field structure
Physical Review D
April 2000
Soliton-effect compression and dispersive radiation
Optics Communications
March 2000
Soliton evolution and radiation loss for the sine-Gordon equation
August 1999
Modulation solutions for the Benjamin–Ono equation
Physica D Nonlinear Phenomena
July 1999
Optimization of soliton amplitude in dispersion-decreasing nonlinear optical fibers
Journal of the Optical Society of America B
March 1999
Pulse evolution for marangoni-bénard convection
Mathematical and Computer Modelling
November 1998
Approximate evolution of lump initial conditions for the Benjamin-Ono equation
Wave Motion
October 1998
Solitary waves in nonlinear dispersive systems with zero average dispersion
July 1998
Effect of radiative loss on pulses in periodically inhomogeneous birefringent optical f...
June 1998
Dispersive radiation and nonlinear twin-core fibers
Journal of the Optical Society of America B
October 1997
A numerical method for predicting crystal micro-structure
Applied Mathematical Modelling
September 1997
Evolution of lump solutions for the KP equation
Wave Motion
November 1996
Effect of radiation losses on hotspot formation and propagation in microwave heating
IMA Journal of Applied Mathematics
October 1996
Soliton interaction for the extended Korteweg-de Vries equation
IMA Journal of Applied Mathematics
January 1996
Soliton evolution and radiation loss for the nonlinear Schrödinger equation
February 1995
Soliton evolution and radiation loss for the Korteweg–de Vries equation
January 1995
Resonant splitting of a vector soliton in a periodically inhomogeneous birefringent opt...
August 1994
Microwave heating of materials with power law temperature dependencies
IMA Journal of Applied Mathematics
January 1994
Microwave Heating of Materials with Nonohmic Conductance
SIAM Journal on Applied Mathematics
December 1993
Resonant shape oscillations and decay of a soliton in a periodically inhomogeneous nonl...
August 1993
Microwave Heating of Materials with Low Conductivity
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
June 1991
Initial-Boundary Value Problems for the Korteweg-de Vries Equation
IMA Journal of Applied Mathematics
January 1991
The extended Korteweg-de Vries equation and the resonant flow of a fluid over topography
Journal of Fluid Mechanics
December 1990
Propagation of flame fronts
The Journal of the Australian Mathematical Society Series B Applied Mathematics
April 1990
Microwave heating of bodies with temperature dependent properties
Wave Motion
March 1990
Dissipative effects on the resonant flow of a stratified fluid over topography
Journal of Fluid Mechanics
July 1988
Hydraulic Jump and Undular Bore Formation on a Shelf Break
Journal of Physical Oceanography
July 1988
Mean flow induced by the viscous critical layer in a stratified fluid
The Journal of the Australian Mathematical Society Series B Applied Mathematics
January 1988
High-Order Nonlinear Diffusion
IMA Journal of Applied Mathematics
January 1988
Modulation Theory Solution for Resonant Flow Over Topography
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
January 1987
Numerical shock propagation using geometrical shock dynamics
Journal of Fluid Mechanics
October 1986
Resonant flow of a stratified fluid over topography
Journal of Fluid Mechanics
August 1986