Diverse exact analytical solutions and novel interaction solutions for the (2+1)-dimensional Ito equation

Abstract

Abstract In this paper, we studied a novel form of exact analytical solutions of (2+1)-dimensional Ito equation based on Hirota bilinear method. By using symbolic computation, assorted exact analytical solutions including high-order rational solutions, three-wave solutions, breather solutions and interaction solutions between the above solutions were obtained through choosing the order of terms as well as different basic functions. The exact solutions of (2+1)-dimensional Ito equation on current literatures are extremely enriched. Furthermore, both three-dimensional plots and corresponding contour maps with different determinant values vividly show the movement of waves and the collision phenomena.

Topics & Concepts