323 citations · 2.2k across the 48 of their papers we have counts for
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A new two-dimensional lattice model that is "consistent around a cube"
Jarmo Hietarinta
For two-dimensional lattice equations one definition of integrability is that the model can be naturally and consistently extended to three dimensions, i.e., that it is "consistent…
Relaxation of twisted vortices in the Faddeev-Skyrme model
Jarmo Hietarinta, Juha Jäykkä, Petri Salo
We study vortex knotting in the Faddeev-Skyrme model. Starting with a straight vortex line twisted around its axis we follow its evolution under dissipative energy minimization dyn…
The Sasa-Satsuma higher order nonlinear Schrodinger equation and its bilinearization and multi-soliton solutions
C. Gilson, J. Hietarinta, J. Nimmo +1
Higher order and multicomponent generalizations of the nonlinear Schrodinger equation are important in various applications, e.g., in optics. One of these equations, the integrable…
Painleve equations from Darboux chains - Part 1: P3-P5
Ralph Willox, Jarmo Hietarinta
We show that the Painleve equations P3-P5 can be derived (in a unified way) from a periodic sequence of Darboux transformations for a Schrodinger problem with quadratic eigenvalue…