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Meromorphic solutions of an auxiliary ordinary differential equation using complex method
Author(s) -
Yuan Wenjun,
Li Yezhou,
Lin Jianming
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2723
Subject(s) - meromorphic function , mathematics , ordinary differential equation , riccati equation , exact differential equation , differential equation , korteweg–de vries equation , first order partial differential equation , partial differential equation , characteristic equation , simple (philosophy) , mathematical analysis , hill differential equation , nonlinear system , philosophy , physics , epistemology , quantum mechanics
In this paper, we employ the complex method to obtain first all meromorphic solutions of an auxiliary ordinary differential equation and then find all meromorphic exact solutions of the classical Korteweg–de Vries equation, Boussinesq equation, ( 3 + 1)‐dimensional Jimbo–Miwa equation, and Benjamin–Bona–Mahony equation. Our results show that the method is more simple than other methods. Copyright © 2013 John Wiley & Sons, Ltd.