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Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping |
ZHAO Yuan1, ZHANG Shun-Li1,3, LOU Sen-Yue2,3 |
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 7100692Department of Physics, Shanghai Jiao Tong University, Shanghai 2002403Department of Physics, Ningbo University, Ningbo 315211 |
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Cite this article: |
ZHAO Yuan, ZHANG Shun-Li, LOU Sen-Yue 2009 Chin. Phys. Lett. 26 100201 |
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Abstract The approximate symmetry perturbation method is applied to the nonlinear damped wave equation. The approximate symmetry reduction equations of different orders are derived and the corresponding series reduction solutions are obtained.
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Keywords:
02.30.Jr
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Received: 02 June 2009
Published: 27 September 2009
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PACS: |
02.30.Jr
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(Partial differential equations)
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