Painlevé Analysis and Abundant Meromorphic Solutions of a Class of Nonlinear Algebraic Differential Equations-Reference-Cited by-同舟云学术

Painlevé Analysis and Abundant Meromorphic Solutions of a Class of Nonlinear Algebraic Differential Equations

Published:2019-02-18 Issue: Volume:2019 Page:1-11
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Gu Yongyi¹²^ORCID,Zheng Xiaoxiao³^ORCID,Meng Fanning⁴^ORCID

Affiliation:

1. School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China

2. Big data and Educational Statistics Application Laboratory, Guangdong University of Finance and Economics, Guangzhou 510320, China

3. School of Mathematical Sciences, Qufu Normal University, Qufu 273155, China

4. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Abstract

In this paper, a class of nonlinear algebraic differential equations (NADEs) is studied. The Painlevé analysis of the NADEs is considered. Abundant meromorphic solutions of the NADEs are obtained by means of the complex method. Then, meromorphic exact solutions of the Schamel-Korteweg-de Vries (S-KdV) equation and (2+1)-dimensional sine-Gordon equation are derived via the applications of the NADEs.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2019/9210725.pdf

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