Abstract
In this work, the complete discrimination system for polynomial method is applied to conduct qualitative and quantitative analysis of a generalized Kudryashov equation. With the aid of traveling wave transformation, this model is transformed into a dynamical system, then the Hamiltonian and topological properties are presented. The existences of soliton and periodic solutions are well addressed via the bifurcation method. All the existing single traveling wave solutions are also obtained. Especially, considering the external perturbation terms, the chaotic behavior of this equation is analyzed in detail. To the best of our knowledge, this is the first time that the chaotic behavior is investigated for a generalized Kudryashov equation.
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