JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (8): 81-89.doi: 10.6040/j.issn.1671-9352.0.2018.706

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Meromorphic solutions of a class of auxiliary differential equation and its applications

GU Yong-yi, KONG Yin-ying*   

  1. School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, Guangdong, China
  • Online:2019-08-20 Published:2019-07-03

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Abstract: This paper introduce a method to find exact solutions of nonlinear partial differential equations—complex method, and derive meromorphic solutions for a class of algebraic differential equation by the mentioned method. The results are used to seek exact solutions of nonlinear differential equations. Exact solutions of the Vakhnenko-Parkes equation and Dodd-Bullough-Mikhailov equation are obtained.

Key words: differential equation, meromorphic solution, Vakhnenko-Parkes equation, Dodd-Bullough-Mikhailov equation

CLC Number: 

  • O174.52
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