Abstract
The modified Sawada-Kotera equation is investigated by prolongation technique and Painlevé singularity analysis. As a result, the Lax pair and conservation laws of the modified Sawada-Kotera equation are formulated. It is proved that this equation pasts the Painlevé test in sense of having enough arbitrary functions at its resonant points. The auto-Bäcklund transformation and exact solutions of the modified Sawada-Kotera equation are obtained explicitly.
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