Quasi-exact solutions of the dissipative Kuramoto–Sivashinsky equation

作者：

Highlights：

• The dissipative Kuramoto–Sivashinsky equation is studied.

• It is shown that this equation does not pass the Painleve test.

• Quasi-exact solutions of the dissipative Kuramoto–Sivashinsky equation is given.

摘要

Highlights•The dissipative Kuramoto–Sivashinsky equation is studied.•It is shown that this equation does not pass the Painleve test.•Quasi-exact solutions of the dissipative Kuramoto–Sivashinsky equation is given.

论文关键词：Kuramoto–Sivasinsky equation,Exact solution,Quasi-exact solution

论文评审过程：Available online 20 April 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.03.062