Mixed type exact solutions to the (2+1)-dimensional Ito equation

Abstract

Using a direct test function based on the Hirota’s bilinear form, two classes of mixed type exact solutions to the (2[Formula: see text]+[Formula: see text]1)-dimensional Ito equation are found through symbolic computations with Mathematica. These mixed type exact solutions contain exponential function, trigonometric function and hyperbolic function. The physical structures and characteristics for these resulting mixed type exact solutions are illustrated by some three-dimensional plots and contour plots.