Abstract
In this paper, by using the homogeneous equilibrium method, the exact solutions of a modified Bogoyavlenskii’s breaking soliton equation are derived and the soliton solutions with arbitrary functions are constructed. Then, the basic law of interaction between the different solitons are revealed and some new local structures are addressed and discussed. The periodic solitons, parabolic solitons and folded solitons of arbitrary shape propagating with variable speed are considered. It is helpful not only to verify the numerical solution and analyze the stability of the solution, but also to understand the dynamics of the high dimensional nonlinear wave field.
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