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  5. PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

来源 :应用数学和力学（英文版） | 被引量 : 0次 | 上传用户：hongguoboy
【摘 要】
：
The longitudinal oscillation of a nonlinear elastic rod with lateral inertia was studied. Based on the far field and simple wave theory, a nonlinear Schrodinger
【作 者】
：
L Ke-pu GUO Peng ZHANG Lei YI 
【机 构】
：
College of Physics and Electronic Engineering
【出 处】
：
应用数学和力学（英文版）
【发表日期】
：
2004年期
【关键词】
：
nonlinear elastic rod far field NLS equation 
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The longitudinal oscillation of a nonlinear elastic rod with lateral inertia was studied. Based on the far field and simple wave theory, a nonlinear Schrodinger (NLS)equation was established under the assumption of small amplitude and long wavelength.It is found that there are NLS envelop solitons in this system. Finally the soliton solution of the NLS equation was presented.
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