期刊
REGULAR & CHAOTIC DYNAMICS
卷 25, 期 3, 页码 273-280出版社
PLEIADES PUBLISHING INC
DOI: 10.1134/S156035472003003X
关键词
second Painleve equation; Painleve test; Yablonskii-Vorob'ev polynomials; rational solution
资金
- Russian Foundation for Basic Research (RFBR) [18-29-10025]
Nonlinear differential equations associated with the second Painleve equation are considered. Transformations for solutions of the singular manifold equation are presented. It is shown that rational solutions of the singular manifold equation are determined by means of the Yablonskii-Vorob'ev polynomials. It is demonstrated that rational solutions for some differential equations are also expressed via the Yablonskii-Vorob'ev polynomials.
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