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Preprint archive

Our research: Preprint archive
  

2003

Preprints are listed in reverse chronological order and are in pdf format.

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Staff in the School of Mathematics at Loughborough University may submit a pdf file to the archive by email to webmaster. Please make sure your email contains the title and author(s) of the paper (but not written entirely in capital letters).

Full Text PDF ArticlePreprint 03-40
Cell-signalling repression in bacterial quorum sensing
by J. P. Ward, J. R. King, A. J. Koerber, J. M. Croft, R. E. Sockett and P. Williams

Full Text PDF ArticlePreprint 03-39
Hydrodynamic reductions of multi-dimensional dispersionless PDEs: the test for integrability
by E. V. Ferapontov and K. R. Khusnutdinova

Full Text PDF ArticlePreprint 03-38
Bound states in coupled guides. II. Three dimensions.
by C. M. Linton and K. Ratcliffe

Full Text PDF ArticlePreprint 03-37
Bound states in coupled guides. I. Two dimensions.
by C. M. Linton and K. Ratcliffe

Full Text PDF ArticlePreprint 03-36
A model on the dynamics of odontogenic cyst growth
by J. P. Ward, V. Magar, S. J. Franks, G. Landini.

Full Text PDF ArticlePreprint 03-35
Finite-order solutions and the integrability of difference equations
by R. G. Halburd and R. J. Korhonen

Full Text PDF ArticlePreprint 03-34
The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type
by E. V. Ferapontov and K. R. Khusnutdinova

Full Text PDF ArticlePreprint 03-33 (also available from gr-qc/0310083)
Generalised Kundt waves and their physical interpretation
by J. B. Griffiths, P. Docherty and J. Podolsky

Full Text PDF ArticlePreprint 03-32
Simulation of the transformation of internal solitary waves on oceanic shelves
by R. Grimshaw, E. Pelinovsky, T. Talipova, and A. Kurkin

Full Text PDF ArticlePreprint 03-31
A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles
by M. D. Groves and B. Sandstede

Full Text PDF ArticlePreprint 03-30
Cauchy problem for integrable discrete equations on quad-graphs
by V. E. Adler and A. P. Veselov

Full Text PDF ArticlePreprint 03-29
A class of coherent structures and interaction behavior in Multidimensions
by J.-F. Zhang

Full Text PDF ArticlePreprint 03-28
Oscillations and patterns in spatially discrete models for developmental intercellular signalling
by S. D. Webb and M. R. Owen

Full Text PDF ArticlePreprint 03-27
Agradient velocity and balanced vortical motion
by G. G. Sutyrin

Full Text PDF ArticlePreprint 03-26
Mathematical modelling of the use of macrophages as vehicles for drug-delivery to hypoxic tumour sites
by M. R. Owen, H. M. Byrne and C. E. Lewis

Full Text PDF ArticlePreprint 03-25
Generation of secondary solitary waves in the variable-coefficient Korteweg-de Vries equation
by R. H. J. Grimshaw and S. R. Pudjaprasetya

Full Text PDF ArticlePreprint 03-24
Steady multi-polar planar vortices with nonlinear critical layers
by P. Caillol and R. Grimshaw

Full Text PDF ArticlePreprint 03-23
Mixing centre of a channel
by R. Smith

Full Text PDF ArticlePreprint 03-22
The stable manifold theorem for semi-linear stochastic evolution equations and stochastic partial differential equations, II: Existence of stable and unstable manifolds.
by S.-E. A. Mohammed, T. Zhang and H. Zhao

Full Text PDF ArticlePreprint 03-21
The stable manifold theorem for semi-linear stochastic evolution equations and stochastic partial differential equations, I: The stochastic semiflow.
by S.-E. A. Mohammed, T. Zhang and H. Zhao

Full Text PDF ArticlePreprint 03-20
Interaction of two lump solitons described by the Kadomtsev-Petviashvili I equation
by Z. Lu, E. M. Tian and R. Grimshaw

Full Text PDF ArticlePreprint 03-19
Saltatory waves in the spike-diffuse-spike model of active dendritic spines
by S. Coombes and P. C. Bressloff

Full Text PDF ArticlePreprint 03-18
On integrability of (2+1)-dimensional quasilinear systems
by E. V. Ferapontov and K. R. Khusnutdinova

Full Text PDF ArticlePreprint 03-17
Rotational acoustic resonances in cylindrical waveguides
by Y. Duan and M. McIver

Full Text PDF ArticlePreprint 03-16
Vanishing Twist in the Hamiltonian Hopf bifurcation
by H. R. Dullin, A. V. Ivanov

Full Text PDF ArticlePreprint 03-15
(Vanishing) twist in the saddle-centre and period-doubling bifurcation
by H. R. Dullin, A. V. Ivanov

Full Text PDF ArticlePreprint 03-14
Residue races
by A. Granville, D. Shiu and P. Shiu

Full Text PDF ArticlePreprint 03-13
Semi-infinite arrays of isotropic point scatterers. A unified approach
by C. M. Linton and P. A. Martin

Full Text PDF ArticlePreprint 03-12
Reflection and transmission across a finite gap in an infinite elastic plate on water
by H. Chung and C. M. Linton

Full Text PDF ArticlePreprint 03-11
Water waves
by R. Grimshaw

Full Text PDF ArticlePreprint 03-10
Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems
by M. Feigin and A. P. Veselov

Full Text PDF ArticlePreprint 03-09
Deformed quantum Calogero-Moser problems and Lie superalgebras
by A. N. Sergeev and A. P. Veselov

Full Text PDF ArticlePreprint 03-08
A continuum of weakly coupled oscillatory McKean neurons
by M. Denman-Johnson and S. Coombes

Full Text PDF ArticlePreprint 03-07
The effects of quasi-active membrane on multiply periodic traveling waves in integrate-and-fire systems
by M. P. James, S. Coombes and P. C. Bressloff

Full Text PDF ArticlePreprint 03-06
Advection tests of the optimal compact implicit scheme
by R. Smith and Y. Tang

Full Text PDF ArticlePreprint 03-05
Dynamics of synaptically coupled integrate-and-fire-or-burst neurons
by S. Coombes

Full Text PDF ArticlePreprint 03-04
Monodromy in the resonant swing spring
by H. R. Dullin, A. Giacobbe and R. Cushman

Full Text PDF ArticlePreprint 03-03
An algorithm for detecting directional quasi-convexity
by H. R. Dullin and F. Fasso

Full Text PDF ArticlePreprint 03-02
Sparks and waves in a stochastic fire-diffuse-fire model of calcium release
by S. Coombes and Y. Timofeeva

Full Text PDF ArticlePreprint 03-01
Wave bifurcation and propagation failure in a model of calcium release
by Y. Timofeeva and S. Coombes
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