Elastic and nonelastic interactional solutions for the (2？+？1)-dimensional Ito equation

Abstract In this paper, based on the bilinear form and two new test functions, for the (2？+？1)-dimensional Ito equation, we obtain non-elastic interactional solutions composed of three different types of waves including the solitary wave, the periodic wave and the lump wave, and elastic interactional solutions with the solitary wave and the lump wave. We also obtain the periodic wave solutions and two-lump wave solutions