Resumen de Equivalence Transformation, Dynamical Analysis and Exact Solutions of Harry-Dym System with Variable Coefficients

Lina Chang, Hanze Liu, Xuexia Li, Xiangpeng Xin

• In this paper, the combination of equivalence transformation and dynamical system method is performed for Harry-Dym (H-D) system. By means of the improved CK direct method, we give the relationship between the variable coefficients H-D system and the corresponding constant coefficients one. Then, the bifurcation of the nonlinear H-D system is obtained, and the existence of possible solitary wave solutions and some uncountably infinite periodic wave solutions are given by using dynamical system method. Furthermore, the explicit parametric representations of the exact solutions of the system are provided.