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Paolo Maria Santini

Paolo Maria Santini

Overview

Paolo Maria Santini is affiliated with the University of Parma in Italy. Their research primarily spans the fields of physics and astronomy, with a focus on statistical and nonlinear physics, atomic and molecular physics and optics, mathematical physics, oceanography, and computer networks and communications.

The main topics Paolo Maria Santini has contributed to include:

  • Nonlinear Photonic Systems
  • Nonlinear Waves and Solitons
  • Advanced Fiber Laser Technologies
  • Advanced Mathematical Physics Problems
  • Ocean Waves and Remote Sensing
  • Nonlinear Dynamics and Pattern Formation
  • Gyrotron and Vacuum Electronics Research

Frequent publication venues for Santini's work include:

  • Journal of Physics A Mathematical and Theoretical
  • arXiv (Cornell University)
  • Physical review. E
  • IRIS Research product catalog (Sapienza University of Rome)
  • Nonlinearity

Some notable recent papers authored or coauthored by Paolo Maria Santini are:

  • Effect of a small loss or gain in the periodic nonlinear Schrödinger anomalous wave dynamics, 2020, Physical review. E
  • The linear and nonlinear instability of the Akhmediev breather, 2021, IRIS Research product catalog (Sapienza University of Rome)
  • Fermi-Pasta-Ulam-Tsingou recurrence of periodic anomalous waves in the complex Ginzburg-Landau and in the Lugiato-Lefever equations, 2020, Physical review. E
  • The periodic N breather anomalous wave solution of the Davey-Stewartson equations; first appearance, recurrence, and blow up properties, 2023, Journal of Physics A Mathematical and Theoretical
  • Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz-Ladik lattices, 2023, Journal of Physics A Mathematical and Theoretical

Santini collaborates frequently with several researchers, including:

  • F. Coppini
  • P. G. Grinevich

Best Publications

  • Coherent structures in multidimensions.

    A. S. Fokas;P. M. Santini

  • Integrable symplectic maps

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

  • Recursion Operators and Bi-Hamiltonian Structures in Multidimensions. II

    A. S. Fokas;P. M. Santini

  • An elementary geometric characterization of the integrable motions of a curve

    A. Doliwa;P.M. Santini

  • Multidimensional quadrilateral lattices are integrable

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

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

    S. V. Manakov;P. M. Santini

  • Transformations of quadrilateral lattices

    Adam Doliwa;Paolo Maria Santini;Manuel Mañas

  • 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

  • Observation of Fermi-Pasta-Ulam-Tsingou Recurrence and Its Exact Dynamics

    D. Pierangeli;D. Pierangeli;M. Flammini;L. Zhang;G. Marcucci

  • 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

  • Dynamics of multibody systems in space environment; Lagrangian vs. Eulerian approach

    P. Santini;P. Gasbarri

  • Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation

    S.V. Manakov;P.M. Santini

  • The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices

    Jan Cieśliński;Adam Doliwa;Adam Doliwa;Paolo Maria Santini;Paolo Maria Santini

  • Reductions of the Multidimensional Quadrilateral Lattice. The Multidimensional Circular Lattice

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

  • Integrable dynamics of a discrete curve and the Ablowitz–Ladik hierarchy

    Adam Doliwa;Paolo Maria Santini

  • Stability of flexible spacecrafts

    Paolo Santini

  • Darboux transformations for multidimensional quadrilateral lattices. I

    Manuel Mañas;Adam Doliwa;Adam Doliwa;Paolo Maria Santini;Paolo Maria Santini

  • The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1

    P G Grinevich;P G Grinevich;P G Grinevich;P M Santini

  • On the solutions of the second heavenly and Pavlov equations

    S V Manakov;P M Santini

  • Integrable three-dimensional lattices

    D Levi;L Pilloni;P M Santini

Frequent Co-Authors

Francesco Calogero
Francesco Calogero Sapienza University of Rome
Paolo Sarti
Paolo Sarti Sapienza University of Rome
Orlando Ragnisco
Orlando Ragnisco Roma Tre University
Decio Levi
Decio Levi Roma Tre University
Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge
Francesco Orzi
Francesco Orzi Sapienza University of Rome
Antonino Cattaneo
Antonino Cattaneo International School for Advanced Studies

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