143 citations · 394 across the 15 of their papers we have counts for
15 papers
Whitham Shocks and Resonant Dispersive Shock Waves Governed by the Higher Order Korteweg-de Vries Equation
Saleh Baqer, Noel F. Smyth
The addition of higher order asymptotic corrections to the Korteweg-de Vries equation results in the extended Korteweg-de Vries equation. These higher order terms destabilise the d…
Extended shallow water wave equations
Theodoros P. Horikis, Dimitrios J. Frantzeskakis, Noel F. Smyth
Extended shallow water wave equations are derived, using the method of asymptotic expansions, from the Euler (or water wave) equations. These extended models are valid one order be…
Nematic dispersive shock waves from nonlocal to local
Saleh Baqer, Dimitrios J. Frantzeskakis, Theodoros Horikis +3
The structure of optical dispersive shock waves in nematic liquid crystals is investigated as the power of the optical beam is varied, with six regimes identified, which complement…
Modulation theory and resonant regimes for dispersive shock waves in nematic liquid crystals
Saleh Baqer, Noel F. Smyth
A full analysis of all regimes for optical dispersive shock wave (DSW) propagation in nematic liquid crystals is undertaken. These dispersive shock waves are generated from step in…
Interaction of internal solitary waves with long waves within the rotation modified Benjamin-Ono equation
R. H. J. Grimshaw, N. F. Smyth, Y. A. Stepanyants
Interaction of a solitary wave with a long background wave is studied within the framework of rotation modified Benjamin-Ono equation describing internal waves in a deep fluid. Wit…
Decay of Benjamin - Ono solitons under the influence of dissipation
Roger H. Grimshaw, Noel F. Smyth, Yury A. Stepanyants
The adiabatic decay of Benjamin - Ono algebraic solitons is studied when the influence of various types of small dissipation and radiative losses due to large scale Coriolis disper…
Reorientational solitons in nematic liquid crystals with modulated alignment
Filip A. Sala, Noel F. Smyth, Urszula A. Laudyn +3
In uniaxial soft matter with a reorientational nonlinearity, such as nematic liquid crystals, a light beam in the extraordinary polarization walks off its wavevector due to birefri…
Dispersive shock waves in systems with nonlocal dispersion of Benjamin-Ono type
G. A. El, L. T. K. Nguyen, N. F. Smyth
We develop a general approach to the description of dispersive shock waves (DSWs) for a class of nonlinear wave equations with a nonlocal Benjamin-Ono type dispersion term involvin…
Radiating dispersive shock waves in nonlocal optical media
Gennady A. El, Noel F. Smyth
We consider the step Riemann problem for the system of equations describing the propagation of a coherent light beam in nematic liquid crystals, which is a general system describin…
A numerical study of the pull-in instability in some free boundary models for MEMS
Gilberto Flores, Noel F. Smyth
In this work we numerically compute the bifurcation curve of stationary solutions for the free boundary problem for MEMS in one space dimension. It has a single turning point, as i…
Vector vortex solitons in nematic liquid crystals
Zhiyong Xu, Noel F. Smyth, Antonmaria A. Minzoni +1
We analyze the existence and stability of two-component vector solitons in nematic liquid crystals for which one of the components carries angular momentum and describes a vortex b…
Asymptotic description of solitary wave trains in fully nonlinear shallow-water theory
G. A. El, R. H. J. Grimshaw, N. F. Smyth
We derive an asymptotic formula for the amplitude distribution in a fully nonlinear shallow-water solitary wave train which is formed as the long-time outcome of the initial-value…
Unsteady undular bores in fully nonlinear shallow-water theory
G. A. El, R. H. J. Grimshaw, N. F. Smyth
We consider unsteady undular bores for a pair of coupled equations of Boussinesq-type which contain the familiar fully nonlinear dissipationless shallow-water dynamics and the lead…
Quantum Collapse of a Small Dust Shell
A. Corichi, G. Cruz, A. Minzoni +5
The full quantum mechanical collapse of a small relativistic dust shell is studied analytically, asymptotically and numerically starting from the exact finite dimensional classical…
The Effect of low Momentum Quantum Fluctuations on a Coherent Field Structure
A. Corichi, G. Cruz-Pacheco, A. Minzoni +4
In the present work the evolution of a coherent field structure of the Sine-Gordon equation under quantum fluctuations is studied. The basic equations are derived from the coherent…