Concepedia

Completely Integrable Systems

Completely Integrable Systems is a dynamical system characterized by the existence of a maximal set of independent conserved quantities in involution, enabling Hamiltonian phase space trajectories to be solved exactly via action-angle variables.

3.6K

Publications

186.8K

Citations

3.4K

Authors

1.3K

Institutions

Publications per year

2017–2026

534

Variants

Completely Integrable System

Parents

Publications

3.6K

An integrable shallow water equation with peaked solitons

Roberto Camassa, Darryl D. Holm · Physical Review Letters · 1993 · 3.7K citations · Full text

, , +13

The Painlevé property for partial differential equations

John Weiss, M. Tabor, G. F. Carnevale · Journal of Mathematical Physics · 1983 · 2.1K citations

, , +15

Relaxation in a Completely Integrable Many-Body Quantum System: An<i>Ab Initio</i>Study of the Dynamics of the Highly Excited States of 1D Lattice Hard-Core Bosons

Marcos Rigol, Vanja Dunjko, Vladimir Yurovsky et al. · Physical Review Letters · 2007 · 1.6K citations · Full text

, , +16

A simple model of the integrable Hamiltonian equation

Franco Magri · Journal of Mathematical Physics · 1978 · 1.4K citations

, , +15

On the distribution of the length of the longest increasing subsequence of random permutations

Jinho Baik, Percy Deift, Kurt Johansson · Journal of the American Mathematical Society · 1999 · 1.3K citations

, , +12

1–5 of 3.6K

Authors

3.4K

  1. WM
    Wen‐Xiu Ma

    University of South Florida, United States

    37 publications · 1.9K citations

    25

    h-index

  2. AR
    A. Ramani

    École Polytechnique, France

    32 publications · 2.9K citations

    23

    h-index

  3. BG
    B. Grammaticos

    École Polytechnique, France

    34 publications · 3K citations

    23

    h-index

  4. PW
    P. Winternitz

    Université de Montréal, Canada

    25 publications · 1.4K citations

    19

    h-index

  5. BG
    B. G. Konopelchenko

    Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Italy

    20 publications · 988 citations

    17

    h-index

1–5 of 3.4K

Institutions

1.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    41 h-index

    208 publications

    9.1K citations

  2. The University of Tokyo

    Tokyo, Japan

    29 h-index

    102 publications

    5.1K citations

  3. Université de Montréal

    Montreal, Canada

    29 h-index

    82 publications

    3.4K citations

  4. Steklov Mathematical Institute

    Moscow, Russia

    28 h-index

    49 publications

    3.4K citations

  5. Landau Institute for Theoretical Physics

    Chernogolovka, Russia

    28 h-index

    61 publications

    5.5K citations

  6. École Polytechnique

    Palaiseau, France

    27 h-index

    52 publications

    4.7K citations

  7. Université Paris Cité

    Paris, France

    27 h-index

    65 publications

    5.4K citations

  8. Sorbonne Université

    Paris, France

    24 h-index

    53 publications

    3.6K citations

1–8 of 1.3K

Venues

  1. Journal of Mathematical Physics

    276 publications · 16.7K citations

    63

    h-index

  2. Physical Review Letters

    PRL · 122 publications · 17.4K citations

    63

    h-index

  3. Journal of Physics A Mathematical and General

    231 publications · 10.6K citations

    51

    h-index

  4. Physics Letters A

    160 publications · 7.7K citations

    45

    h-index

  5. Nuclear Physics B

    93 publications · 7.7K citations

    44

    h-index

1–5