孤波在非线性弹性杆中的传播

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The Propagation of Solitary Waves in a Nonlinear Elastic Rod

Department of Mathematics and Mechanics, Taiyuan University of Technology, Taiyuan

摘要: 本文利用逆散射方法,对非线性弹性杆中的应变孤波^[1],[2]进行了详细分析,闸明了孤波特性及其对固体结构的影响,并给出了某些定量的结果.

Abstract: In this paper, the inverse scattering method is used to analyse strain solitary waves in a nonlinear elastic rod^[1]. Properties of solitary waves and their influence on solid structures are discussed in detail. Some quantitative results are given.

[1]	Nariboli,G.A.and A.Sedov,Burgers's-Korteweg-De Vries equation for viscoelastic rods and plates,J Math.Anal.Appl.,32(1970).
[2]	朱位秋,弹性杆中的非线性波,固体力学学报,(1980).
[3]	Bhatnager,P.L.,NonIinear Whves in One-Dimensional Dispersive System,Clarendon Press,Oxford(1979).
[4]	Whitham,G.B.,Linear and Nonlinear Waves(1974).
[5]	[日]谷内俊弥、西原功修,《非线性波动》,原子能出版社(1981).
[6]	Miki Wadati and Molikazu Toda,The exact N-soliton solution of the Korteweg-De Vries equation,J.Phy.Soc.Jap.,32,5(1972).