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

Mingxing Chen; Hengchun Hu; Haidong Zhu

doi:10.1016/j.aml.2015.05.010

Journals >Collection Of theses on high power laser and plasma physics >Volume 13 >Issue 1 >Page 147 > Article

Collection Of theses on high power laser and plasma physics
Vol. 13, Issue 1, 147 (2015)

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

Mingxing Chen¹, Hengchun Hu^1,2, and Haidong Zhu^3,*

Author Affiliations

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

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

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

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DOI: 10.1016/j.aml.2015.05.010 Cite this Article

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 Copy Citation Text

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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.

Keywords

CRE method Interaction wave solution Kuramoto–Sivashinsky equation

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