Volume 30, Issue 1
All Meromorphic Solutions of Some Algebraic Differential Equations

W. J. Yuan ,  Z. F. Huang ,  J. C. Lai and J. M. Qi

10.4208/ata.2014.v30.n1.6

Anal. Theory Appl., 30 (2014), pp. 90-107

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  • Abstract

In this article, we introduce some results with respect to the integrality and exactsolutions of some 2nd order algebraic DEs. We obtain the sufficient and necessaryconditions of integrable and the general meromorphic solutions of these equations bythe complex method, which improves the corresponding results obtained by many authors.Our results show that the complex method provides a powerful mathematical tool forsolving a large number of nonlinear partial differential equations in mathematical physics.

  • History

Published online: 2014-03

  • AMS Subject Headings

30D35, 34A05

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