Exact parametric solutions for the first Painlevé nonlinear ODE

Authors

  • Dimitrios Panayotounakos

  • Theodoros I Zarmpoutis

  • George Kosotogiannis

Received date: October 31, 2012

Accepted date: November 12, 2012

Published date: November 30, 2012

DOI:

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

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.

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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

Received date: October 31, 2012

Accepted date: November 12, 2012

Published date: November 30, 2012