Concepedia

Peakon Equations

Peakon Equations is an integrable partial differential equation system characterized by the existence of peaked soliton solutions, or peakons, which are non-smooth solitary waves with discontinuous first derivatives at their peaks.

204

Publications

11.1K

Citations

252

Authors

160

Institutions

Publications per year

2017–2026

51

Parents

Publications

204

Stability of peakons

Adrian Constantin, Walter A. Strauss · Communications on Pure and Applied Mathematics · 2000 · 941 citations

, , +9

A New Integrable Equation with Peakon Solutions

A. Degasperis, Darryl D. Holm, Andrew N. W. Hone · Theoretical and Mathematical Physics · 2002 · 726 citations

, , +11

Integrable peakon equations with cubic nonlinearity

Andrew N. W. Hone, Jing Ping Wang · Journal of Physics A Mathematical and Theoretical · 2008 · 382 citations

, , +17

Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs

Darryl D. Holm, Martin Staley · SIAM Journal on Applied Dynamical Systems · 2003 · 311 citations · Full text

, , +13

Multi-peakon solutions of the Degasperis–Procesi equation

Hans Lundmark, Jacek Szmigielski · Inverse Problems · 2003 · 299 citations · Full text

, , +12

1–5 of 204

Authors

252

  1. CQ
    Changzheng Qu

    Northwest University, China

    14 publications · 888 citations

    13

    h-index

  2. DD
    Darryl D. Holm

    Los Alamos National Laboratory, United States

    10 publications · 1.5K citations

    10

    h-index

  3. JS
    Jacek Szmigielski

    University of Saskatchewan, Canada

    10 publications · 758 citations

    10

    h-index

  4. ZQ
    Zhijun Qiao

    The University of Texas Rio Grande Valley, United States

    9 publications · 272 citations

    9

    h-index

  5. JL
    Jibin Li

    Kunming University of Science and Technology, China

    9 publications · 291 citations

    9

    h-index

1–5 of 252

Institutions

160

  1. Ningbo University

    Ningbo, China

    13 h-index

    21 publications

    1.3K citations

  2. The University of Texas at Arlington

    Arlington, United States

    12 h-index

    13 publications

    1K citations

  3. Zhejiang Normal University

    Jinhua, China

    11 h-index

    18 publications

    480 citations

  4. Jiangsu University

    Zhenjiang, China

    10 h-index

    26 publications

    1.1K citations

  5. Northwest University

    Xi'an, China

    10 h-index

    13 publications

    583 citations

  6. University of Saskatchewan

    Saskatoon, Canada

    9 h-index

    10 publications

    789 citations

  7. Chinese Academy of Sciences

    Beijing, China

    7 h-index

    16 publications

    401 citations

  8. Academy of Mathematics and Systems Science

    Beijing, China

    7 h-index

    16 publications

    401 citations

1–8 of 160

Venues

  1. Chaos Solitons & Fractals

    9 publications · 265 citations

    9

    h-index

  2. International Journal of Bifurcation and Chaos

    IJBC · 7 publications · 246 citations

    7

    h-index

  3. Communications in Mathematical Physics

    7 publications · 645 citations

    7

    h-index

  4. Inverse Problems

    6 publications · 1K citations

    6

    h-index

  5. Nonlinear Analysis Real World Applications

    6 publications · 124 citations

    6

    h-index

1–5