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- Jarmo Hietarinta

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
38
Citations
6,066
120
World Ranking
1577
National Ranking
8

- Quantum mechanics
- Mathematical analysis
- Algebra

His scientific interests lie mostly in Mathematical physics, Integrable system, Quantum mechanics, Soliton and Mathematical analysis. His research integrates issues of Davey–Stewartson equation, Free parameter and Degrees of freedom in his study of Mathematical physics. His work deals with themes such as Special functions, Algebra, Gravitational singularity and Applied mathematics, which intersect with Integrable system.

His study in the field of Quantum and Ground state also crosses realms of Large set and Deformation. His Soliton research is multidisciplinary, relying on both Korteweg–de Vries equation and Schrödinger equation. Many of his research projects under Mathematical analysis are closely connected to Parametrization with Parametrization, tying the diverse disciplines of science together.

- Direct methods for the search of the second invariant (375 citations)
- Discrete versions of the Painlevé equations. (342 citations)
- SINGULARITY CONFINEMENT AND CHAOS IN DISCRETE SYSTEMS (226 citations)

Jarmo Hietarinta mainly investigates Mathematical physics, Integrable system, Mathematical analysis, Lattice and Pure mathematics. His study looks at the relationship between Mathematical physics and fields such as Quantum, as well as how they intersect with chemical problems. His work carried out in the field of Integrable system brings together such families of science as Korteweg–de Vries equation, Hamiltonian system, Soliton, Algebraic number and Applied mathematics.

Jarmo Hietarinta has researched Soliton in several fields, including Partial differential equation, Bilinear form and Classical mechanics. His research in Lattice intersects with topics in Discretization and Lax pair. When carried out as part of a general Pure mathematics research project, his work on Invariant and Multilinear map is frequently linked to work in Tetrahedron and Variables, therefore connecting diverse disciplines of study.

- Mathematical physics (43.42%)
- Integrable system (33.55%)
- Mathematical analysis (23.03%)

- Lattice (23.03%)
- Integrable system (33.55%)
- Mathematical physics (43.42%)

Jarmo Hietarinta spends much of his time researching Lattice, Integrable system, Mathematical physics, Mathematical analysis and Applied mathematics. In the field of Lattice, his study on Lattice model overlaps with subjects such as Homogeneous. His biological study spans a wide range of topics, including Korteweg–de Vries equation and Algebraic number.

His studies deal with areas such as Phase dynamics, Ring and Gross–Pitaevskii equation as well as Mathematical physics. The Mathematical analysis study which covers Soliton that intersects with Boussinesq approximation and Classical mechanics. His research investigates the connection between Applied mathematics and topics such as Partial differential equation that intersect with problems in Euler equations.

- Discrete Systems and Integrability (71 citations)
- Boussinesq-like multi-component lattice equations and multi-dimensional consistency (44 citations)
- Weak Lax pairs for lattice equations (22 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

Jarmo Hietarinta focuses on Lattice, Integrable system, Mathematical physics, Mathematical analysis and Soliton. The various areas that Jarmo Hietarinta examines in his Lattice study include Special functions, Gravitational singularity and Padé approximant. Jarmo Hietarinta conducts interdisciplinary study in the fields of Integrable system and Fully coupled through his works.

Jarmo Hietarinta has included themes like Korteweg–de Vries equation, Algebraic number and Symmetry transformation in his Mathematical physics study. Mathematical analysis is often connected to Canonical form in his work. His Soliton study incorporates themes from Ring, Phase dynamics, Boussinesq approximation and Classical mechanics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Direct methods for the search of the second invariant

Jarmo Hietarinta.

Physics Reports **(1987)**

515 Citations

Direct methods for the search of the second invariant

Jarmo Hietarinta.

Physics Reports **(1987)**

515 Citations

Discrete versions of the Painlevé equations.

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

Physical Review Letters **(1991)**

483 Citations

Discrete versions of the Painlevé equations.

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

Physical Review Letters **(1991)**

483 Citations

Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers

R. Radhakrishnan;M. Lakshmanan;J. Hietarinta.

Physical Review E **(1997)**

355 Citations

Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers

R. Radhakrishnan;M. Lakshmanan;J. Hietarinta.

Physical Review E **(1997)**

355 Citations

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

Jarmo Hietarinta.

Journal of Mathematical Physics **(1987)**

312 Citations

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

Jarmo Hietarinta.

Journal of Mathematical Physics **(1987)**

312 Citations

SINGULARITY CONFINEMENT AND CHAOS IN DISCRETE SYSTEMS

Jarmo Hietarinta;Claude Viallet.

Physical Review Letters **(1998)**

292 Citations

SINGULARITY CONFINEMENT AND CHAOS IN DISCRETE SYSTEMS

Jarmo Hietarinta;Claude Viallet.

Physical Review Letters **(1998)**

292 Citations

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