On the polynomial solution of the first Painlevé equation


  • D. Sierra Porta Centro de Modelado Científico, CMC. Universidad del Zulia, Venezuela
  • L. A. Núñez






Painlevé transcendent, first Painlevé equation, optimization methods.


The Painlevé equations and their solutions arises in pure, applied mathematics and theoretical physics. In this manuscript we apply the Optimal Homotopy Asymptotic Method (OHAM) for solving the first Painlevé equation. Our approximation technique is based on the use of polynomial solutions, which are shown to be accurate when compared to the computed numerical solutions, thus providing a very close description of the evolution of the system.


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