Meromorphic solutions of a class of algebraic differential equations related to Painlevé equation III
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Authors
Gu, Y.
Aminakbari, N.
Yuan, W.
Wu, Yong Hong
Date
2017Type
Journal Article
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Gu, Y. and Aminakbari, N. and Yuan, W. and Wu, Y.H. 2017. Meromorphic solutions of a class of algebraic differential equations related to Painlevé equation III. Houston Journal of Mathematics. 43 (4): pp. 1045-1055.
Source Title
Houston Journal of Mathematics
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School
School of Electrical Engineering, Computing and Mathematical Science (EECMS)
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Abstract
© 2017 University of Houston. In this paper, the complex method is employed to derive mero-morphic solutions to a class of algebraic differential equations related to Painlevé equation III, and then we illustrate our main results by some computer simulations. As an example, we obtain the meromorphic solutions of a nonlinear evolution equation by the application of our results.
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