27 citations · 67 across the 5 of their papers we have counts for
5 papers
Scattering of knotted vortices (Hopfions) in the Faddeev-Skyrme model
J. Hietarinta, J. Palmu, J. Jäykkä +1
Several materials, such as ferromagnets, spinor Bose-Einstein condensates, and some topological insulators, are now believed to support knotted structures. One of the most successf…
Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation
Jarmo Hietarinta, Da-jun Zhang
Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Aroun…
Seed and soliton solutions for Adler's lattice equation
James Atkinson, Jarmo Hietarinta, Frank Nijhoff
Adler's lattice equation has acquired the status of a master equation among 2D discrete integrable systems. In this paper we derive what we believe are the first explicit solutions…
Shock waves in the dissipative Toda lattice
J. Hietarinta, T. Kuusela, B. Malomed
We consider the propagation of a shock wave (SW) in the damped Toda lattice. The SW is a moving boundary between two semi-infinite lattice domains with different densities. A stead…
Continuous vacua in bilinear soliton equations
J. Hietarinta, A. Ramani, B. Grammaticos
We discuss the freedom in the background field (vacuum) on top of which the solitons are built. If the Hirota bilinear form of a soliton equation is given by $A(D_{\vec x})\bd GF=0…