Chinese Quarterly Journal of Mathematics ›› 2021, Vol. 36 ›› Issue (2): 196-203.doi: 10.13371/j.cnki.chin.q.j.m.2021.02.008

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Painlev\'{e} Analysis of Higher Order Nonlinear Evolution Equations with Variable Coefficients

  

  1. Shanxi Institute of Energy
  • Received:2020-12-07 Online:2021-06-30 Published:2021-06-23
  • About author:Wang Yuan (1986-), female, lecturer, engages in soliton theory and integrable system.
  • Supported by:
    Supported by the Shanxi Education Department Project (Grant No. J2020398); Key Natural
    Science Projects of Shanxi Energy Institute (Grant No. ZZ-2018003).

Abstract: There is a close relationship between the Painlev´e integrability and other
integrability of nonlinear evolution equation. By using the Weiss-Tabor-Carnevale (WTC)
method and the symbolic computation of Maple, the Painlev´e test is used for the higher
order generalized non-autonomous equation and the third order Korteweg-de Vries equation
with variable coefficients. Finally the Painlev´e integrability condition of this equation is
gotten.

Key words: Higher order generalized non-autonomous equation, Third order Korteweg-de
Vries equation with variable coefficients,
Painlev′e analysis method

CLC Number: