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

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

2009-03-16

arxiv.org/abs/0903.2703v1

Nonlinear Sciences

Pattern Formation and Solitons

17 pages, 4 figures

Scientific paper

An approximate homotopy symmetry method for nonlinear problems is proposed and applied to the six-order boussinesq equation. We summarize the general formulas for similarity reduction solutions and similarity reduction equations of different orders, educing the related homotopy series solutions. The convergence region of homotopy series solutions can be adjusted by the auxiliary parameter. Series solutions and similarity reduction equations from approximate symmetry method can be retrieved from approximate homotopy symmetry method.

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