323 citations · 2.2k across the 48 of their papers we have counts for
48 papers
Almost local integrable models from supersymmetry algebras
Somnath Maity, Pramod Padmanabhan, Jarmo Hietarinta +1
Supersymmetry algebras can be used to obtain algebraic expressions for constant Yang-Baxter solutions, also known as braid group generators. This was done for non-invertible braid…
Solutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions
Jarmo Hietarinta, Paul Martin, Eric C. Rowell
We find all solutions to the constant Yang--Baxter equation in three dimensions, subject to an additive charge-conservation ansatz. This ans…
Degree growth of lattice equations defined on a 3x3 stencil
Jarmo Hietarinta
We study complexity in terms of degree growth of one-component lattice equations defined on a stencil. The equations include two in Hirota bilinear form and the Boussin…
Discrete Boussinesq-type equations
Jarmo Hietarinta, Da-jun Zhang
We present a comprehensive review of the discrete Boussinesq equations based on their three-component forms on an elementary quadrilateral. These equations were originally found by…
Search for integrable two-component versions of the lattice equations in the ABS-list
Jarmo Hietarinta
We search and classify two-component versions of the quad equations in the ABS list, under certain assumptions. The independent variables will be called and in addition to mu…
Algebraic entropy computations for lattice equations: why initial value problems do matter
J. Hietarinta, T. Mase, R. Willox
In this letter we show that the results of degree growth (algebraic entropy) calculations for lattice equations strongly depend on the initial value problem that one chooses. We co…