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An approximate homotopy symmetry method for nonlinear problems is proposedand applied to the six-order boussinesq equation. We summarize the generalformulas for similarity reduction solutions and similarity reduction equationsof different orders, educing the related homotopy series solutions. Theconvergence region of homotopy series solutions can be adjusted by theauxiliary parameter. Series solutions and similarity reduction equations fromapproximate symmetry method can be retrieved from approximate homotopy symmetrymethod.

Approximate homotopy symmetry method and homotopy series solutions to the six-order boussinesq equation