Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping
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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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ZHAO Yuan, ZHANG Shun-Li, LOU Sen-Yue. Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping[J]. Chin. Phys. Lett., 2009, 26(10): 100201. DOI: 10.1088/0256-307X/26/10/100201
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ZHAO Yuan, ZHANG Shun-Li, LOU Sen-Yue. Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping[J]. Chin. Phys. Lett., 2009, 26(10): 100201. DOI: 10.1088/0256-307X/26/10/100201
|
ZHAO Yuan, ZHANG Shun-Li, LOU Sen-Yue. Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping[J]. Chin. Phys. Lett., 2009, 26(10): 100201. DOI: 10.1088/0256-307X/26/10/100201
|
ZHAO Yuan, ZHANG Shun-Li, LOU Sen-Yue. Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping[J]. Chin. Phys. Lett., 2009, 26(10): 100201. DOI: 10.1088/0256-307X/26/10/100201
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