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- Maxwell Institute for Mathematical SciencesGB436 papers
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6 papers · 1 filter
Quasiperiodic Solutions of the Fibre Optics Coupled Nonlinear Schr{ö}dinger Equations
P L Christiansen, J C Eilbeck, V Z Enolskii +1
We consider travelling periodical and quasiperiodical waves in single mode fibres, with weak birefringence and under the action of cross-phase modulation. The problem is reduced to…
Random Geometries and Real Space Renormalization Group
D. Johnston, J-P. Kownacki, A. Krzywicki
A method of ``blocking'' triangulations that rests on the self-similarity feature of dynamically triangulated random manifolds is proposed. The method is used to define the renorma…
Quantum Lattice Solitons
A. C. Scott, J. C. Eilbeck, H. Gilhøj
The number state method is used to study soliton bands for three anharmonic quantum lattices: i) The discrete nonlinear Schrödinger equation, ii) The Ablowitz-Ladik system, and iii…
A Remark on the Renormalization Group Equation for the Penner Model
D. Johnston
It is possible to extract values for critical couplings and gamma_string in matrix models by deriving a renormalization group equation for the variation of the of the free energy a…
Frustrating and Diluting Dynamical Lattice Ising Spins
D. Johnston
We investigate what happens to the third order ferromagnetic phase transition displayed by the Ising model on various dynamical planar lattices (ie coupled to 2D quantum gravity) w…
On the Two Gap Locus for the Elliptic Calogero--Moser Model
V Z Enolskii, J C Eilbeck
We give an analytical description of the locus of the two-gap elliptic potentials associated with the corresponding flow of the Calogero--Moser system. We start with the descriptio…