标题： 六阶Boussinesq方程的近似同伦对称方法和同伦级数解 显示英文标题

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

摘要： 一种用于非线性问题的近似同伦对称方法被提出并应用于六阶Boussinesq方程。 我们总结了不同阶数的相似性约化解和相似性约化方程的一般公式，推导出相关的同伦级数解。 通过辅助参数可以调整同伦级数解的收敛区域。 从近似对称方法得到的级数解和相似性约化方程可以从近似同伦对称方法中检索出来。 显示英文摘要

摘要： 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.