Concepedia

Inverse Scattering Transform

The Inverse Scattering Transform is a mathematical method that belongs to the class of solution techniques for nonlinear partial differential equations and is distinguished by its use of scattering theory to linearize and solve integrable nonlinear wave equations through a spectral analysis of associated linear operators.

385

Publications

34.1K

Citations

473

Authors

301

Institutions

Publications per year

2017–2026

89

Variants

Ist

Parents

Publications

385

Determination of the regularization parameter in indirect-transform methods using perceptual criteria

Dmitri I. Svergun · Journal of Applied Crystallography · 1992 · 3.8K citations

, , +13

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

Dynamics of solitons in nearly integrable systems

Yuri S. Kivshar, Boris A. Malomed · Reviews of Modern Physics · 1989 · 1.8K citations

, , +16

A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

Mark J. Ablowitz, A. Ramani, Harvey Segur · Journal of Mathematical Physics · 1980 · 1K citations

, , +14

Integrable Nonlocal Nonlinear Schrödinger Equation

Mark J. Ablowitz, Ziad H. Musslimani · Physical Review Letters · 2013 · 889 citations

, , +16

1–5 of 385

Authors

473

  1. MJ
    Mark J. Ablowitz

    University of Colorado Boulder, United States

    32 publications · 9.5K citations

    27

    h-index

  2. BP
    B. Prinari

    Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Italy

    19 publications · 1K citations

    16

    h-index

  3. AS
    A. S. Fokas

    University of Cambridge, United Kingdom

    11 publications · 1.4K citations

    11

    h-index

  4. GB
    Gino Biondini

    University at Buffalo, State University of New York, United States

    10 publications · 1.1K citations

    11

    h-index

  5. DJ
    D. J. Kaup

    Clarkson University, United States

    11 publications · 3.8K citations

    10

    h-index

1–5 of 473

Institutions

301

  1. University at Buffalo, State University of New York

    Buffalo, United States

    18 h-index

    24 publications

    2.1K citations

  2. University of Colorado Boulder

    Boulder, United States

    16 h-index

    24 publications

    3K citations

  3. Clarkson College

    Omaha, United States

    15 h-index

    32 publications

    18.3K citations

  4. University of Colorado Colorado Springs

    Colorado Springs, United States

    13 h-index

    18 publications

    763 citations

  5. Istituto Nazionale di Fisica Nucleare, Sezione di Lecce

    Lecce, Italy

    11 h-index

    18 publications

    909 citations

  6. Clarkson University

    Potsdam, United States

    10 h-index

    18 publications

    665 citations

  7. University of Turin

    Turin, Italy

    9 h-index

    11 publications

    323 citations

  8. Zhejiang Normal University

    Jinhua, China

    9 h-index

    11 publications

    679 citations

1–8 of 301

Venues

  1. Journal of Mathematical Physics

    37 publications · 3.4K citations

    21

    h-index

  2. Studies in Applied Mathematics

    23 publications · 5.6K citations

    20

    h-index

  3. Inverse Problems

    22 publications · 961 citations

    16

    h-index

  4. Physica D Nonlinear Phenomena

    14 publications · 1.2K citations

    14

    h-index

  5. Journal of the Physical Society of Japan

    12 publications · 1.8K citations

    12

    h-index

1–5