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math.DS2026
Dynamic interactions and equilibrium configurations of pulses in the two-dimensional complex quintic Ginzburg-Landau equation
M R Turner, D J B Lloyd
This paper constructs a fast and effective novel numerical scheme which accurately calculates the dynamics of weakly-interacting pulses in the two-dimensional quintic-complex Ginzb…
math.DS2020★ 8 cited
Localised Radial Patterns on the Free Surface of a Ferrofluid
Dan J. Hill, David J. B. Lloyd, Matthew R. Turner
This paper investigates the existence of localised axisymmetric (radial) patterns on the surface of a ferrofluid in the presence of a uniform vertical magnetic field. We formally i…