Concepedia

Variable Separation Ansatz

Variable Separation Ansatz is a mathematical assumption positing that solutions to partial differential equations can be expressed as products of functions, each depending on a single independent variable, thereby enabling the reduction of the original equation into a system of ordinary differential equations through separation of variables.

165

Publications

6.4K

Citations

212

Authors

126

Institutions

Publications per year

2017–2026

11

Parents

Publications

165

Localized excitations in (2+1)-dimensional systems

Xiaoyan Tang, Sen‐Yue Lou, Ying Zhang · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2002 · 448 citations

, , +16

Separation of variables in the Gaudin model

E. K. Sklyanin · Journal of Mathematical Sciences · 1989 · 285 citations · Full text

, , +3

Revisitation of the localized excitations of the (2+1)-dimensional KdV equation

Sen‐Yue Lou, H-y Ruan · Journal of Physics A Mathematical and General · 2001 · 284 citations

, , +14

Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation

Sergio Benenti · Journal of Mathematical Physics · 1997 · 169 citations

, , +16

Symmetry and separation of variables for the Helmholtz and Laplace equations

Charles P. Boyer, E. G. Kalnins, Willard Miller · Nagoya Mathematical Journal · 1976 · 113 citations · Full text

, , +17

1–5 of 165

Authors

212

  1. ZC
    Zheng Chun-Long

    Lishui University, China

    19 publications · 505 citations

    14

    h-index

  2. JF
    Jian-Ping Fang

    Lishui University, China

    16 publications · 427 citations

    13

    h-index

  3. CD
    Chao‐Qing Dai

    Zhejiang A & F University, China

    15 publications · 521 citations

    12

    h-index

  4. SL
    Sen‐Yue Lou

    Ningbo University, China

    11 publications · 1.2K citations

    11

    h-index

  5. XT
    Xiaoyan Tang

    Shanghai Jiao Tong University, China

    10 publications · 926 citations

    10

    h-index

1–5 of 212

Institutions

126

  1. Shanghai Jiao Tong University

    Shanghai, China

    18 h-index

    45 publications

    3.2K citations

  2. Ningbo University

    Ningbo, China

    15 h-index

    24 publications

    1.9K citations

  3. Lishui University

    Lishui, China

    15 h-index

    43 publications

    1.1K citations

  4. Zhejiang Normal University

    Jinhua, China

    13 h-index

    37 publications

    731 citations

  5. Zhejiang A & F University

    Lin’an Shi, China

    13 h-index

    28 publications

    1.2K citations

  6. Shanghai University

    Shanghai, China

    12 h-index

    29 publications

    631 citations

  7. Zhejiang University

    Hangzhou, China

    10 h-index

    18 publications

    408 citations

  8. Northwest University

    Xi'an, China

    7 h-index

    14 publications

    536 citations

1–8 of 126

Venues

  1. Communications in Theoretical Physics

    CTP · 21 publications · 499 citations

    14

    h-index

  2. Journal of Mathematical Physics

    11 publications · 589 citations

    11

    h-index

  3. Chinese Physics Letters

    9 publications · 360 citations

    9

    h-index

  4. Chinese Physics

    7 publications · 160 citations

    7

    h-index

  5. Zeitschrift für Naturforschung A

    7 publications · 169 citations

    7

    h-index

1–5