Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 1 : pp. 90–107
Abstract
In this article, we introduce some results with respect to the integrality and exact solutions of some 2nd order algebraic DEs. We obtain the sufficient and necessary conditions of integrable and the general meromorphic solutions of these equations by the complex method, which improves the corresponding results obtained by many authors. Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n1.6
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 1 : pp. 90–107
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Differential equation general solution meromorphic function elliptic function.