Dynamic behavior of traveling waves for the Sharma-Tasso-Olver equation

In this paper, we study the dynamic behavior of traveling waves for the Sharma-Tasso-Olver equation. The spectral stability of traveling wave solutions are shown by the spectral energy estimate method. Interactions between two solitary waves are described by the extended homoclinic test function method. Three types of interaction are presented. The type of interactions depend on the phase shift parameter . The local fission and fusion phenomena of solitary wave interactions are investigated and exhibited mathematically and graphically, and they have no relationship with the parameter which are different from the previous works. The local fission and fusion phenomena of solitary waves occur when the phase shift parameter or . These results might provide us with useful information on the dynamics of the relevant physical fields.