Concepedia

Nonlinear Differential Equation Models

Nonlinear Differential Equation Models is a mathematical modeling framework that belongs to the class of differential equation models and is distinguished by its incorporation of nonlinear functions of the dependent variables or their derivatives, enabling the representation of complex, interacting dynamics in nonlinear compartment systems.

660

Publications

33.4K

Citations

1.4K

Authors

708

Institutions

Publications per year

2017–2026

126

Parents

Publications

660

Progress in Nonlinear Differential Equations and their Applications

Amandine Aftalion · HAL (Le Centre pour la Communication Scientifique Directe) · 2006 · 1.3K citations

, , +11

Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

Robert M. Miura · Journal of Mathematical Physics · 1968 · 940 citations

, , +10

Catchments as simple dynamical systems: Catchment characterization, rainfall‐runoff modeling, and doing hydrology backward

James W. Kirchner · Water Resources Research · 2009 · 876 citations · Full text

, , +17

Handbook of Differential Equations

W.F. Ames, Daniel Zwillinger · Mathematics of Computation · 1990 · 832 citations

, , +12

Nonlinear dynamics of the Frenkel–Kontorova model

O. M. Braun, Yuri S. Kivshar · Physics Reports · 1998 · 685 citations

, , +8

1–5 of 660

Authors

1.4K

  1. UF
    U. Filobello-Nino

    Universidad Veracruzana, Mexico

    5 publications · 142 citations

    5

    h-index

  2. DG
    D.D. Ganji

    Babol University of Medical Sciences, Iran

    5 publications · 134 citations

    5

    h-index

  3. HV
    Héctor Vázquez-Leal

    Universidad Veracruzana, Mexico

    5 publications · 142 citations

    5

    h-index

  4. RR
    Randolph Rach

    Hartford Financial Services (United States)

    4 publications · 99 citations

    4

    h-index

  5. AS
    Arturo Sarmiento-Reyes

    National Institute of Astrophysics, Optics and Electronics, Mexico

    4 publications · 108 citations

    4

    h-index

1–5 of 1.4K

Institutions

708

  1. Pennsylvania State University

    State College, United States

    8 h-index

    19 publications

    899 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    16 publications

    451 citations

  3. Queen's University

    Kingston, Canada

    7 h-index

    11 publications

    403 citations

  4. Abdul Wali Khan University Mardan

    Mardan, Pakistan

    6 h-index

    11 publications

    327 citations

  5. Babol University of Medical Sciences

    Babol, Iran

    6 h-index

    9 publications

    179 citations

  6. University of Alberta

    Edmonton, Canada

    6 h-index

    10 publications

    554 citations

  7. National Institute of Astrophysics, Optics and Electronics

    Puebla City, Mexico

    5 h-index

    10 publications

    393 citations

  8. University of Oxford

    Oxford, United Kingdom

    5 h-index

    19 publications

    820 citations

1–8 of 708

Venues

  1. Chaos Solitons & Fractals

    13 publications · 837 citations

    13

    h-index

  2. Nonlinear Analysis

    13 publications · 365 citations

    12

    h-index

  3. Applied Mathematics and Computation

    13 publications · 627 citations

    11

    h-index

  4. 10

    h-index

  5. Journal of Differential Equations

    8 publications · 192 citations

    8

    h-index

1–5