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The Soliton-Like and Instanton-Like Solutions of the Generalized ξϕ6 Model

The well-known ξϕ6 scalar field model is extended to a more general form. It is shown that there exist various types (both topological and nontopological) of the soliton-like and instanton-like solitary wave solutions for the generalized ξϕ6 model. Some special types of solutions of the conventional ξϕ6 model can be transformed to that of the extended ξϕ6 model with an arbitrary constant and then various cnoidal waves of the extended model are also obtained. Especially, a large number of model-independent soliton-like, instanton-like and cnoidal wave solutions, which are the same as that of the usual ξϕ6 model, are allowed.