Approximate Similarity Reduction for the Nonlinear K(n, 1) Equation with Weak Damping via Symmetry Perturbation and Direct Method

  •  Rui Zhang    
  •  Lizi Lin    


The nonlinear K(n, 1) equation with weak damping is investigated via the approximate symmetry perturbation method and
approximate direct method. The approximate symmetry and similarity reduction equations of different orders are derived
and the corresponding series reduction solutions are obtained. As a result, the formal coincidence for both methods is

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