323 citations · 2.2k across the 48 of their papers we have counts for
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Multisoliton solutions to the lattice Boussinesq equation
Jarmo Hietarinta, Da-jun Zhang
The lattice Boussinesq equation (BSQ) is a three-component difference-difference equation defined on an elementary square of the 2D lattice, having 3D consistency. We write the equ…
Unwinding in Hopfion vortex bunches
Juha Jäykkä, Jarmo Hietarinta
We investigate the behaviour of parallel Faddeev-Hopf vortices under energy minimization in a system with physically relevant, but unusual boundary conditions. The homotopy classif…
Soliton Solutions for ABS Lattice Equations II: Casoratians and Bilinearization
Jarmo Hietarinta, Da-jun Zhang
In Part I [arXiv:0902.4873 [nlin.SI]] soliton solutions to the ABS list of multi-dimensionally consistent difference equations (except Q4) were derived using connection between the…
Soliton Solutions for ABS Lattice Equations: I Cauchy Matrix Approach
Frank Nijhoff, James Atkinson, Jarmo Hietarinta
In recent years there have been new insights into the integrability of quadrilateral lattice equations, i.e. partial difference equations which are the natural discrete analogues o…