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- Paolo Maria Santini

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
31
Citations
3,683
109
World Ranking
2616
National Ranking
87

- Mathematical analysis
- Quantum mechanics
- Algebra

His primary areas of investigation include Integrable system, Mathematical physics, Nonlinear system, Quadrilateral and Pure mathematics. In his study, Integer lattice is strongly linked to Lattice model, which falls under the umbrella field of Integrable system. His work deals with themes such as Korteweg–de Vries equation, Operator and Inverse scattering problem, Inverse scattering transform, which intersect with Mathematical physics.

His studies in Nonlinear system integrate themes in fields like Initial value problem, Statistical physics, Multidimensional systems and Schrödinger equation. The study incorporates disciplines such as Geometric group theory, Congruence relation and Discrete geometry in addition to Quadrilateral. His Pure mathematics study incorporates themes from Discrete mathematics, Laplace transform, Coordinate system and Inscribed figure.

- Coherent structures in multidimensions. (198 citations)
- Recursion Operators and Bi-Hamiltonian Structures in Multidimensions. II (185 citations)
- Integrable symplectic maps (168 citations)

Paolo Maria Santini mainly investigates Integrable system, Mathematical analysis, Nonlinear system, Pure mathematics and Mathematical physics. He has included themes like Partial differential equation, Inverse, Discrete geometry, Discretization and Vector field in his Integrable system study. His Mathematical analysis research incorporates themes from Motion and Homogeneous space.

His Nonlinear system research focuses on subjects like Inverse problem, which are linked to Riemann hypothesis. His work focuses on many connections between Pure mathematics and other disciplines, such as Quadrilateral, that overlap with his field of interest in Laplace transform, Inscribed figure, Integer lattice and Lattice model. His work in the fields of Mathematical physics, such as Schrödinger's cat, intersects with other areas such as Dispersionless equation.

- Integrable system (58.82%)
- Mathematical analysis (45.59%)
- Nonlinear system (44.12%)

- Integrable system (58.82%)
- Nonlinear system (44.12%)
- Vector field (8.82%)

His primary areas of study are Integrable system, Nonlinear system, Vector field, Mathematical analysis and Plane. His study in Integrable system is interdisciplinary in nature, drawing from both Simple and Inverse scattering transform. The various areas that Paolo Maria Santini examines in his Nonlinear system study include Initial value problem and Einstein.

His research in Vector field intersects with topics in Inverse problem, Mathematical physics, Soliton, Inverse and Applied mathematics. His Mathematical analysis study combines topics in areas such as Lemma and Opacity. He has researched Plane in several fields, including Instability, Gravitational wave, Harmonic and Classical mechanics.

- The inflammatory circuitry of miR-149 as a pathological mechanism in osteoarthritis (74 citations)
- Cadmium-induced apoptosis and necrosis in human osteoblasts: role of caspases and mitogen-activated protein kinases pathways. (34 citations)
- Integrable dispersionless PDEs arising as commutation condition of pairs of vector fields (20 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

Paolo Maria Santini mainly focuses on Vector field, Partial differential equation, Integrable system, Inverse problem and Mathematical physics. His study on Partial differential equation is covered under Mathematical analysis. The study incorporates disciplines such as Flow, Hierarchy, Inverse, Nonlinear system and Riemann hypothesis in addition to Integrable system.

His studies in Inverse integrate themes in fields like Cauchy problem, Soliton and Applied mathematics. The Inverse problem study combines topics in areas such as Initial value problem and Simple.

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.

Coherent structures in multidimensions.

A. S. Fokas;P. M. Santini.

Physical Review Letters **(1989)**

265 Citations

Integrable symplectic maps

M. Bruschi;M. Bruschi;O. Ragnisco;O. Ragnisco;P. M. Santini;Tu Gui-Zhang.

Physica D: Nonlinear Phenomena **(1991)**

208 Citations

Recursion Operators and Bi-Hamiltonian Structures in Multidimensions. II

A. S. Fokas;P. M. Santini.

Communications in Mathematical Physics **(1988)**

202 Citations

An elementary geometric characterization of the integrable motions of a curve

A. Doliwa;P.M. Santini.

Physics Letters A **(1994)**

186 Citations

Multidimensional quadrilateral lattices are integrable

Adam Doliwa;Adam Doliwa;Paolo Maria Santini;Paolo Maria Santini.

Physics Letters A **(1997)**

170 Citations

Transformations of quadrilateral lattices

Adam Doliwa;Paolo Maria Santini;Manuel Mañas.

Journal of Mathematical Physics **(2000)**

122 Citations

The Cauchy Problem on the Plane for the Dispersionless Kadomtsev - Petviashvili Equation

S. V. Manakov;P. M. Santini.

Jetp Letters **(2006)**

114 Citations

On the solutions of the dKP equation: the nonlinear Riemann Hilbert problem, longtime behaviour, implicit solutions and wave breaking

S V Manakov;P M Santini.

Journal of Physics A **(2008)**

111 Citations

A hierarchy of integrable partial differential equations in 2+1 dimensions associated with one-parameter families of one-dimensional vector fields

S. V. Manakov;P. M. Santini.

Theoretical and Mathematical Physics **(2007)**

100 Citations

The inflammatory circuitry of miR-149 as a pathological mechanism in osteoarthritis

Paolo Santini;Laura Politi;Pietro Dalla Vedova;Roberto Scandurra.

Rheumatology International **(2014)**

96 Citations

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