Abstract：In this paper, the solitary wave solutions, periodic wave solutions of coupled DSW equations and evolutionary relationships between them are studied. Firstly, the coupled DSW equations are qualitatively analyzed by using the theory and method of plane dynamic system, and the global phase portraits under different parameters are given. On this basis, three forms of solitary wave solutions of the equations are obtained by the undetermined hypothesis method, and six forms of periodic wave solutions are obtained by the first integral method and appropriate transformation. Furthermore, the evolution relationships between the periodic wave solutions and solitary wave solutions are studied. Finally, the schematic diagrams from the evolution of the periodic wave solutions to the solitary wave solutions are given.
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2020, Vol. 43 
