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

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

DOI: 10.4208/ata.2014.v30.n1.6

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

Published online: 2014-03

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  • 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.

  • Keywords

Differential equation, general solution, meromorphic function, elliptic function.

  • AMS Subject Headings

30D35, 34A05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-30-90, author = {W. J. Yuan, Z. F. Huang, J. C. Lai and J. M. Qi}, title = {All Meromorphic Solutions of Some Algebraic Differential Equations}, journal = {Analysis in Theory and Applications}, year = {2014}, volume = {30}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n1.6}, url = {http://global-sci.org/intro/article_detail/ata/4475.html} }
TY - JOUR T1 - All Meromorphic Solutions of Some Algebraic Differential Equations AU - W. J. Yuan, Z. F. Huang, J. C. Lai & J. M. Qi JO - Analysis in Theory and Applications VL - 1 SP - 90 EP - 107 PY - 2014 DA - 2014/03 SN - 30 DO - http://doi.org/10.4208/ata.2014.v30.n1.6 UR - https://global-sci.org/intro/article_detail/ata/4475.html KW - Differential equation, general solution, meromorphic function, elliptic function. AB -

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.

W. J. Yuan, Z. F. Huang, J. C. Lai and J. M. Qi. (2014). All Meromorphic Solutions of Some Algebraic Differential Equations. Analysis in Theory and Applications. 30 (1). 90-107. doi:10.4208/ata.2014.v30.n1.6
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