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Computation of All Polynomial Solutions of a Class of Nonlinear Differential Equations

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Abstract

A class of nonlinear differential equations is considered. We show that all their polynomial solutions can be computed in a systematic manner. Implementation of our method is also illustrated by means of Maple programs.

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Authors and Affiliations

  1. Faculté Génie Electrique Département Informatique, USTHB, BP32, El Alia, Bab Ezzouar, 16111, Algiers, Algeria

    D. Behloul

  2. Department of Mathematics, Hua University, Hsinchu, 30043, Taiwan , R. O. China

    S. S. Cheng

Authors
  1. D. Behloul
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  2. S. S. Cheng
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Behloul, D., Cheng, S.S. Computation of All Polynomial Solutions of a Class of Nonlinear Differential Equations. Computing 77, 163–177 (2006). https://doi.org/10.1007/s00607-005-0152-0

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  • DOI: https://doi.org/10.1007/s00607-005-0152-0

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