Nonhomogeneous Dispersive Water Waves and Painlev\'{e} equations
Exactly Solvable and Integrable Systems
2023-06-22 v2 Analysis of PDEs
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 Painlev\'{e} equations, i.e. , and respectively.
Cite
@article{arxiv.2106.07388,
title = {Nonhomogeneous Dispersive Water Waves and Painlev\'{e} equations},
author = {Maciej Błaszak},
journal= {arXiv preprint arXiv:2106.07388},
year = {2023}
}
Comments
6 pages