Exact parametric solutions for the first Painlevé nonlinear ODE

Authors and Affiliations

  • Dimitrios Panayotounakos
  • Theodoros I Zarmpoutis
  • George Kosotogiannis

About this article

DOI:

https://doi.org/10.14419/ijamr.v2i1.535

Received:

31-10-2012

Accepted:

12-11-2012

Published:

30-11-2012

Views:

452

Downloads:

222
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Abstract

We present a mathematical methodology for constructing the exact parametric solution of the first Painlevé second order nonlinear  ordinary differential equation. Several admissible functional transformations are introduced through an intermediary analysis delivering us from the a priori construction of power series solutions.

Author Biographies

  • Dimitrios Panayotounakos
    Prof School of Applied Mathematics and Physical Sciences, National Technical University of Athens, Zografou Street 5, Hellas, GR 15773.
  • Theodoros I Zarmpoutis
    PHD Researcher School of Applied Mathematics and Physical Sciences, National Technical University of Athens, Zografou Street 5, Hellas, GR 15773.
  • George Kosotogiannis
    PHD Candidate  School of Applied Mathematics and Physical Sciences, National Technical University of Athens, Zografou Street 5, Hellas, GR 15773.

How to Cite

Panayotounakos, D., Zarmpoutis, T. I., & Kosotogiannis, G. (2012). Exact parametric solutions for the first Painlevé nonlinear ODE. International Journal of Applied Mathematical Research, 2(1), 55-61. https://doi.org/10.14419/ijamr.v2i1.535

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