| 非线性弹性杆中MKdV应变孤波的演变 |
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| 引用本文： | 陈敏,颜家壬.非线性弹性杆中MKdV应变孤波的演变[J].湘潭大学自然科学学报,1993,15(1):84-91. |
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| 作者姓名： | 陈敏 颜家壬 |
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| 作者单位： | 岳阳师专物理系
(陈敏),湘潭大学物理系(颜家壬) |
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| 摘 要： | 本文利用微扰论方法,从连续谱方面详细研究了非线性弹性杆中的粘弹性阻尼对杆内纵向MKdV应变孤波传播的影响.结论指出:耗散的存在不仅使孤波的能量发生耗散,高度随时间变矮,速度减慢,而且在初时刻,孤波的后面会随时间逐渐生长出一个振荡形式的尾迹.
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| 关 键 词： | 非线性 孤立子 弹性杆 MKdV |
EVOLUTION OF MKdV STRAIN SOLITARY WAVES IN A NON-LINEAR ELASTIC ROD |
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| Yan Jiaren.EVOLUTION OF MKdV STRAIN SOLITARY WAVES IN A NON-LINEAR ELASTIC ROD[J].Natural Science Journal of Xiangtan University,1993,15(1):84-91. |
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| Authors: | Yan Jiaren |
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| Abstract: | By using perturbation theory,authors have studied the influenceof the viscoelastic damping on the propagation of MKdV strain solitarywaves in a nonlinear elastic rod in continious spectrum. The results showthat the viscoelastic damping lead to main effects on a strain solitarywave as follows:besides deforming its shape,decelerating its velocity,dissipating its energy, in initial time, the solitary wave will have a"tail" which is a small amplitude vibrating wave packet with growinglength. |
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| Keywords: | non-linear solitons elastic rod |
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