Concepedia

Bäcklund Transformations

Bäcklund Transformations is a type of transformation in the theory of integrable systems that maps solutions of a given partial differential equation to new solutions of the same or a related equation through a system of compatible differential relations, distinguished by its ability to generate soliton solutions and underlie infinite-dimensional symmetries.

1.2K

Publications

61.5K

Citations

1.3K

Authors

648

Institutions

Publications per year

2017–2026

202

Variants

Bäcklund Transformation

Parents

Publications

1.2K

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Studies in Applied Mathematics · 1974 · 3.2K citations

, , +17

The Painlevé property for partial differential equations

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

, , +15

Symplectic structures, their Bäcklund transformations and hereditary symmetries

Benno Fuchssteiner, A. S. Fokas · Physica D Nonlinear Phenomena · 1981 · 1.9K citations

, , +16

A simple model of the integrable Hamiltonian equation

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

, , +15

Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws

Miki Wadati, H. Sanuki, Kimiaki Konno · Progress of Theoretical Physics · 1975 · 751 citations · Full text

, , +11

1–5 of 1.2K

Authors

1.3K

  1. BT
    Bo Tian

    Beijing University of Posts and Telecommunications, China

    55 publications · 2.5K citations

    29

    h-index

  2. XG
    Xin-Yi Gao

    Beijing University of Posts and Telecommunications, China

    27 publications · 2.1K citations

    24

    h-index

  3. XH
    Xing‐Biao Hu

    Academy of Mathematics and Systems Science, China

    29 publications · 932 citations

    20

    h-index

  4. YG
    Yi-Tian Gao

    Beihang University, China

    22 publications · 1.2K citations

    17

    h-index

  5. CR
    C. Rogers

    UNSW Sydney, Australia

    23 publications · 1.1K citations

    17

    h-index

1–5 of 1.3K

Institutions

648

  1. Beijing University of Posts and Telecommunications

    Beijing, China

    36 h-index

    322 publications

    14.1K citations

  2. Beihang University

    Beijing, China

    23 h-index

    106 publications

    4.8K citations

  3. China University of Mining and Technology

    Xuzhou, China

    21 h-index

    69 publications

    2.7K citations

  4. UNSW Sydney

    Sydney, Australia

    17 h-index

    38 publications

    1.5K citations

  5. Zhejiang Normal University

    Jinhua, China

    16 h-index

    26 publications

    1.1K citations

  6. China Center of Advanced Science and Technology

    Beijing, China

    15 h-index

    17 publications

    1.1K citations

  7. Ningbo University

    Ningbo, China

    15 h-index

    33 publications

    2K citations

  8. Hong Kong Baptist University

    Hong Kong, Hong Kong

    15 h-index

    23 publications

    646 citations

1–8 of 648

Venues

  1. Journal of Mathematical Physics

    137 publications · 10.7K citations

    43

    h-index

  2. Journal of Physics A Mathematical and General

    121 publications · 5K citations

    36

    h-index

  3. Physics Letters A

    64 publications · 2.7K citations

    28

    h-index

  4. Journal of the Physical Society of Japan

    35 publications · 3K citations

    23

    h-index

  5. Studies in Applied Mathematics

    27 publications · 5K citations

    22

    h-index

1–5