Consistent Riccati expansion and exact solutions of the Kuramoto–Sivashinsky equation

Mingxing Chen; Hengchun Hu; Haidong Zhu

doi:doi:10.1016/j.aml.2015.05.010

Collection Of theses on high power laser and plasma physics, 2015, 13 (1): 147, Published Online: May. 26, 2017

Consistent Riccati expansion and exact solutions of the Kuramoto–Sivashinsky equation

Mingxing Chen ¹Hengchun Hu ^1,2Haidong Zhu ^3,*

Author Affiliations

¹ College of Science, University of Shanghai for Science and Technology, Shanghai 200093, PR China

² Department of Mathematics, The University of Texas-Pan American, Edinburg, TX 78541, United States

³ National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, 201800, PR China

CRE method Kuramoto–Sivashinsky equation Interaction wave solution

Abstract

A consistent Riccati expansion (CRE) method is developed for a special Kuramoto–Sivashinsky (KS) equation and we prove the general KS equation is non-CRE solvable. Furthermore, we obtain the soliton–cnoidal wave interaction solution of the special KS equation.

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Mingxing Chen, Hengchun Hu, Haidong Zhu. Consistent Riccati expansion and exact solutions of the Kuramoto–Sivashinsky equation[J]. Collection Of theses on high power laser and plasma physics, 2015, 13(1): 147.

Consistent Riccati expansion and exact solutions of the Kuramoto–Sivashinsky equation

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