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
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
摘要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.
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.
ZHAO Yuan;ZHANG Shun-Li; LOU Sen-Yue;. Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping[J]. 中国物理快报, 2009, 26(10): 100201-100201.
ZHAO Yuan, ZHANG Shun-Li, LOU Sen-Yue,. Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping. Chin. Phys. Lett., 2009, 26(10): 100201-100201.
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