Exact parametric solutions for the first Painlevé nonlinear ODE

Authors

  • Dimitrios Panayotounakos
  • Theodoros I Zarmpoutis
  • George Kosotogiannis

DOI:

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

Published:

2012-11-30

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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