Concepedia

Discrete Integrable Systems

Discrete Integrable Systems is a class of dynamical systems characterized by the existence of a discrete time evolution and possessing a sufficient number of conserved quantities in involution, enabling exact solvability through methods such as Lax pair representation or Yang-Baxter equations, distinguishing them within the broader category of integrable systems by their discrete rather than continuous nature.

823

Publications

35.8K

Citations

892

Authors

530

Institutions

Publications per year

2017–2026

117

Parents

Publications

823

Integrability of the Rabi Model

Daniel Braak · Physical Review Letters · 2011 · 849 citations · Full text

, , +14

Quantum Quench in the Transverse-Field Ising Chain

Pasquale Calabrese, Fabian H. L. Eßler, Maurizio Fagotti · Physical Review Letters · 2011 · 697 citations · Full text

, , +15

Discrete Analogue of a Generalized Toda Equation

Ryogo Hirota · Journal of the Physical Society of Japan · 1981 · 508 citations

, , +14

Discrete versions of some classical integrable systems and factorization of matrix polynomials

Jürgen Moser · Communications in Mathematical Physics · 1991 · 491 citations

, , +12

Do integrable mappings have the Painlevé property?

B. Grammaticos, A. Ramani, V. Papageorgiou · Physical Review Letters · 1991 · 483 citations

, , +14

1–5 of 823

Authors

892

  1. AR
    A. Ramani

    École Polytechnique, France

    29 publications · 1.6K citations

    17

    h-index

  2. BG
    B. Grammaticos

    École Polytechnique, France

    31 publications · 1.6K citations

    17

    h-index

  3. XX
    Xi-Xiang Xu

    Shandong University of Science and Technology, China

    17 publications · 868 citations

    15

    h-index

  4. ZZ
    Zuo-Nong Zhu

    Shanghai Jiao Tong University, China

    12 publications · 328 citations

    11

    h-index

  5. XG
    Xianguo Geng

    Zhengzhou University, China

    11 publications · 563 citations

    11

    h-index

1–5 of 892

Institutions

530

  1. Centre National de la Recherche Scientifique

    Paris, France

    21 h-index

    59 publications

    1.9K citations

  2. Shandong University of Science and Technology

    Qingdao, China

    20 h-index

    47 publications

    1.8K citations

  3. Université Paris Cité

    Paris, France

    18 h-index

    47 publications

    3.5K citations

  4. École Polytechnique

    Palaiseau, France

    18 h-index

    34 publications

    2.5K citations

  5. University of Leeds

    Leeds, United Kingdom

    17 h-index

    34 publications

    1.3K citations

  6. Shanghai Jiao Tong University

    Shanghai, China

    16 h-index

    34 publications

    1K citations

  7. The University of Tokyo

    Tokyo, Japan

    16 h-index

    46 publications

    1.7K citations

  8. UNSW Sydney

    Sydney, Australia

    15 h-index

    22 publications

    991 citations

1–8 of 530

Venues

  1. Journal of Physics A Mathematical and General

    70 publications · 3.2K citations

    31

    h-index

  2. Physics Letters A

    54 publications · 2.3K citations

    26

    h-index

  3. Journal of Mathematical Physics

    56 publications · 2.4K citations

    25

    h-index

  4. Communications in Mathematical Physics

    26 publications · 2.1K citations

    22

    h-index

  5. Journal of Physics A Mathematical and Theoretical

    67 publications · 1.8K citations

    22

    h-index

1–5