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Resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation

In this paper, we study resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation. Based on the Hirota bilinear form, we obtain multi-solitary wave solutions. Particularly, we find fusional solitary wave solution where N-solitary waves interact with each other to fuse into one solitary wave and fusional periodic wave solution where two parallel or intersecting periodic waves interact with each other to fuse into one periodic wave. The asymptotic properties and the interactional plots of the solutions are presented.