Isomonodromic problem for analogue of the Painlevé equations

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Yu Gaiur, I.^1 ; Kudryashov, N.A.^1

National Research Nuclear University MEPhl, Kashirskoe sh. 31, Moscow

115409, Russia^1

关键词: Curvature representation;    Fourth order;    Lax pairs;    Linear problems;    Self-similar;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012012/pdf
DOI  :  10.1088/1742-6596/788/1/012012

来源: IOP

【 摘 要 】

A fourth-order analogue for the Painlevé equations that is self-similar reduction of the modified Sawada-Kotera and Kaup-Kupershmidt equation is considered. Zero curvature representation of Lax pair for the modified Sawada-Kotera equation is presented. Linear problem for a fourth-order analogue for the Painlevé equations is obtained from Lax pair for the modified Sawada-Kotera equation using self-similar variables.