Exact solutions of the Kudryashov-Sinelshchikov equation in ideal liquid with gas bubbles

In this paper, we study exact solutions of the Kudryashov-Sinelshchikov equation in ideal liquid with gas bubbles. Based on the bilinear equation, we get N-solitary wave solutions. For complex parameters, periodic wave solutions and interactional solutions of solitary waves with periodic waves are obtained. By using the long wave limit method, we present lump solutions and interactional solutions of solitary waves with lumps. In different coordinate planes, it is interesting to find different phenomena, including interactions of solitary waves with periodic waves and interactions of solitary waves with rogue waves.