Maciej Błaszak - Nonhomogeneous Dispersive Water Waves and Painlevé equations

ocnmp:7602 - Open Communications in Nonlinear Mathematical Physics, July 23, 2021, Volume 1 - https://doi.org/10.46298/ocnmp.7602
Nonhomogeneous Dispersive Water Waves and Painlevé equations

Authors: Maciej Błaszak ORCID-iD

    In this letter we consider three nonhomogeneous deformations of Dispersive Water Wave (DWW) soliton equation and prove that their stationary flows are equivalent to three famous Painlevé equations, i.e. $P_{II}$, $P_{III}$ and $P_{IV},$ respectively.

    https://doi.org/10.46298/ocnmp.7602
    Source: arXiv.org:2106.07388
    Volume: Volume 1
    Published on: July 23, 2021
    Accepted on: July 21, 2021
    Submitted on: June 18, 2021
    Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems,Mathematics - Analysis of PDEs
    Licence: CC0 1.0 Universal (CC0 1.0) Public Domain Dedication

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