60 citations · 102 across the 3 of their papers we have counts for
5 papers
Boussinesq-like multi-component lattice equations and multi-dimensional consistency
Jarmo Hietarinta
We consider quasilinear, multi-variable, constant coefficient, lattice equations defined on the edges of the elementary square of the lattice, modeled after the lattice modified Bo…
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…
Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model
Juha Jäykkä, Jarmo Hietarinta, Petri Salo
We study the stability of Hopfions embedded in the Ginzburg-Landau (GL) model of two oppositely charged components. It has been shown by Babaev et al. [Phys. Rev. B 65, 100512 (200…
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…