Exact solutions of the equation for surface waves in a convecting fluid

作者：

Highlights：

• The generalized method for finding exact solutions and first integrals is presented.

• New first integral of nonlinear ordinary differential equation in a convecting fluid is given.

• New traveling wave solutions of evolution equation in a convecting fluid are presented.

摘要

•The generalized method for finding exact solutions and first integrals is presented.•New first integral of nonlinear ordinary differential equation in a convecting fluid is given.•New traveling wave solutions of evolution equation in a convecting fluid are presented.

论文关键词：Nonlinear differential equation,Traveling wave solutions,Exact solution,First integral,Equation for surface waves,Convecting fluid

论文评审过程：Received 16 August 2018, Revised 21 September 2018, Accepted 1 October 2018, Available online 24 October 2018, Version of Record 24 October 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.10.005