Nonhomogeneous Dispersive Water Waves and Painlevé equations

Abstract

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.

6 pages

References in corpus (1)

• A Symmetric System of Mixed Painleve III - V Equations and its Integrable Origin