Exact parametric solutions for the first Painlevé nonlinear ODE

  • Authors

    • Dimitrios Panayotounakos
    • Theodoros I Zarmpoutis
    • George Kosotogiannis
    2012-11-30
    https://doi.org/10.14419/ijamr.v2i1.535
  • 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