A simplified hirota method and its application

By means of the homogeneous balance principle, a nonlinear transformation to the well-known breaking soliton equation with physical interest was given. The original equation was turned into a homogeneity differential equation with this nonlinear transformation. By solving the homogeneity equation via the simplified Hirota method and applying the nonlinear transformation, one-soliton, two-soliton and three-soliton solutions as well as some other types of explicit solutions to the breaking soliton equation were obtained with the assistance of Maple.