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

Rui Zhang, Lizi Lin

Abstract


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
displayed.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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