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Nonhomogeneous Dispersive Water Waves and Painlev\'{e} equations

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 Painlev\'{e} equations, i.e. $P_{II}$, $P_{III}$ and $P_{IV},$ respectively.

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Bibliografische Detailangaben
1. Verfasser: Maciej Błaszak
Format: Artigo
Sprache:Inglês
Veröffentlicht: International Society of Nonlinear Mathematical Physics 2021-07-01
Schriftenreihe:Open Communications in Nonlinear Mathematical Physics
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Online-Zugang:https://ocnmp.episciences.org/7602/pdf
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