Explicit solutions of the generalized Kuramoto-Sivashinsky equation with variable coefficients

Abstract

Abstract:

By using the improved CK’s method, the relation between the generalized Kuramoto-Sivashinsky equation with variable coefficient and the corresponding coefficient. Some new exact solutions of the corresponding constant coefficient equation are obtained by applying the Lie group method, and then get the explicit solutions of the generalized Kuramoto-Sivashinsky equation with variable coefficients.

Key words: generalized Kuramoto-Sivashinsky equation, modified CK’s direct method, symmetry, exact solutions

LI Kang, LIU Xi-qiang. Explicit solutions of the generalized Kuramoto-Sivashinsky equation with variable coefficients[J]. J4, 2015, 32(4): 419-424.

References

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