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 andapproximate 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.
- Full Text:
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- DOI:10.5539/jmr.v2n3p36
This work is licensed under a Creative Commons Attribution 4.0 License.
- ISSN(Print): 1916-9795
- ISSN(Online): 1916-9809
- Started: 2009
- Frequency: bimonthly
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