Existence results for the Kudryashov–Sinelshchikov–Olver equation

Abstract

The Kudryashov–Sinelshchikov–Olver equation describes pressure waves in liquids with gas bubbles taking into account heat transfer and viscosity. In this paper, we prove the existence of solutions of the Cauchy problem associated with this equation.

H4-Solutions for the Olver–Benney equation

“…It is a particular case of the Kudryashov-Sinelshchikov equation [5,12], which describes pressure waves in liquids with gas bubbles taking into account heat transfer and viscosity.…”