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

Autor: Maciej Błaszak
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Open Communications in Nonlinear Mathematical Physics, Vol Volume 1 (2021)
Druh dokumentu: article
ISSN: 2802-9356
DOI: 10.46298/ocnmp.7602
Popis: 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.
Databáze: Directory of Open Access Journals