Consistent Riccati expansion and exact solutions of the Kuramoto–Sivashinsky equation
Review articleOpen access
Abstract:

AbstractA 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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