Painlevé analysis and abundant meromorphic solutions of a class of nonlinear algebraic differential equations

DOI10.1155/2019/9210725zbMath1435.34094OpenAlexW2912053916MaRDI QIDQ2298974

Yongyi Gu, Xiaoxiao Zheng, Fanning Meng

Publication date: 20 February 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/9210725

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (6)

Geometric behavior of a class of algebraic differential equations in a complex domain using a majorization concept ⋮ Analytical solutions to the Caudrey-Dodd-Gibbon-Sawada-Kotera equation via symbol calculation approach ⋮ Further results about traveling wave exact solutions of the \((2+1)\)-dimensional modified KdV equation ⋮ Meromorphic exact solutions of the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation ⋮ On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations ⋮ Searching for analytical solutions of the \((2+1)\)-dimensional KP equation by two different systematic methods

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