2026 Jarmo Hietarinta: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	39	2174	1919	12	10	138	7017

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2174

1919

138

7017

Research.com Recognitions

2026 - Research.com Mathematics in Finland Leader Award

Overview

Jarmo Hietarinta is a researcher affiliated with the University of Turku in Finland. Their research spans the fields of Mathematics and Physics and Astronomy, with a particular focus on Geometry and Topology, Statistical and Nonlinear Physics, Algebra and Number Theory, Nuclear and High Energy Physics, and Applied Mathematics.

The research topics frequently explored by Hietarinta include:

Algebraic structures and combinatorial models
Nonlinear Waves and Solitons
Advanced Topics in Algebra
Advanced Differential Equations and Dynamical Systems
Black Holes and Theoretical Physics
Meromorphic and Entire Functions
Polynomial and algebraic computation

Hietarinta has published extensively in a variety of academic venues, notably:

arXiv (Cornell University)
Open Communications in Nonlinear Mathematical Physics
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
UTUPub (University of Turku)

Their recent papers include the following works:

"Discrete Boussinesq-type equations", 2020, arXiv (Cornell University)
"On the parametrization of solutions of the Yang--Baxter equations", 2025, UTUPub (University of Turku)
"Degree growth of lattice equations defined on a 3x3 stencil", 2024, Open Communications in Nonlinear Mathematical Physics
"Degree growth of lattice equations defined on a 3x3 stencil", 2023, arXiv (Cornell University)
"Solutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions", 2024, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Collaboration is a significant aspect of Hietarinta's work. Frequent co-authors include:

Paul Martin
Eric C. Rowell
C.-M. Viallet
Da-jun Zhang

The body of work produced by Hietarinta reflects engagement with advanced algebraic structures, nonlinear phenomena, and mathematical physics. Their contributions cover theoretical investigations and computational aspects related to differential equations, combinatorial models, and integrable systems.

Best Publications

Direct methods for the search of the second invariant

Jarmo Hietarinta

541
Citations
Discrete versions of the Painlevé equations.

A. Ramani;B. Grammaticos;J. Hietarinta

501
Citations
Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers

R. Radhakrishnan;M. Lakshmanan;J. Hietarinta

389
Citations
A search for bilinear equations passing Hirota's three-soliton condition. II. mKdV-type bilinear equations

Jarmo Hietarinta

323
Citations
SINGULARITY CONFINEMENT AND CHAOS IN DISCRETE SYSTEMS

Jarmo Hietarinta;Claude Viallet

313
Citations
Discrete Systems and Integrability

J. Hietarinta;N. Joshi;F. W. Nijhoff

286
Citations
Multidromion solutions to the Davey-Stewartson equation

J. Hietarinta;R. Hirota

208
Citations
Faddeev-Hopf knots: dynamics of linked un-knots

Jarmo Hietarinta;Petri Salo

203
Citations
Sasa-Satsuma higher-order nonlinear Schrödinger equation and its bilinearization and multisoliton solutions.

C. Gilson;J. Hietarinta;J.J.C. Nimmo;Y. Ohta

197
Citations
Soliton solutions for ABS lattice equations: I. Cauchy matrix approach

Frank Nijhoff;James Atkinson;Jarmo Hietarinta

183
Citations
One-dromion solutions for genetic classes of equations

Jarmo Hietarinta

150
Citations
Classical versus quantum integrability

Jarmo Hietarinta

149
Citations
Coupling-Constant Metamorphosis and Duality between Integrable Hamiltonian Systems

J. Hietarinta;B. Grammaticos;B. Dorizzi;A. Ramani

147
Citations
Introduction to the Hirota bilinear method

J. Hietarinta

146
Citations
Solving the two‐dimensional constant quantum Yang–Baxter equation

Jarmo Hietarinta

138
Citations
Ground state in the Faddeev-Skyrme model

Jarmo Hietarinta;Petri Salo

133
Citations
Searching for CAC-maps

Jarmo Hietarinta

116
Citations
All solutions to the constant quantum Yang-Baxter equation in two dimensions

Jarmo Hietarinta

115
Citations
Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization

Jarmo Hietarinta;Da-jun Zhang

113
Citations
A search for integrable two-dimensional hamiltonian systems with polynomial potential

Jarmo Hietarinta

107
Citations

Frequent Co-Authors

Frank W. Nijhoff University of Leeds

Alfred Ramani Centre national de la recherche scientifique, CNRS

B. Grammaticos University of Paris-Saclay

Junkichi Satsuma Musashino University

G. R. W. Quispel La Trobe University

Tero Aittokallio University of Helsinki

M. Lakshmanan Bharathidasan University

Martin D. Kruskal Rutgers, The State University of New Jersey

Peter J. Olver University of Minnesota

Ramalingam Radhakrishnan Jamal Mohamed College

External Links

Personal website of Jarmo Hietarinta Google Scholar page

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