Extended two dimensional equation for the description of nonlinear waves in gas–liquid mixture

作者：

Highlights：

• We derive two-dimensional equation describing waves in a gas–liquid mixture.

• We investigate integrability of this equation using the Painlevé approach.

• We construct some exact solutions of the equation derived.

• We perform numerical investigation of the waves, described by the equation.

摘要

•We derive two-dimensional equation describing waves in a gas–liquid mixture.•We investigate integrability of this equation using the Painlevé approach.•We construct some exact solutions of the equation derived.•We perform numerical investigation of the waves, described by the equation.

论文关键词：Nonlinear equation,Nonlinear wave,Liquid with gas bubbles,Reductive perturbation method,Painlevé test,Exact solutions

论文评审过程：Received 1 June 2015, Accepted 21 June 2015, Available online 17 July 2015, Version of Record 17 July 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.06.095