Solution of nonlinear wave equation of elastic rod

被引：4

作者：

Guo Peng ^{[2
]}

Zhang Lei ^{[2
]}

Lue Ke-pu ^{[1
]}

Duan Wen-shan ^{[1
]}

机构：

[1] NW Normal Univ, Coll Phys & Elect Engn, Lanzhou 730070, Peoples R China

[2] Lanzhou Jiaotong Univ, Sch Math Phys & Software Engn, Lanzhou 730070, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2008年 / 29卷 / 01期

基金：

中国国家自然科学基金;

关键词：

nonlinear elastic rod; method of full approximation; KdV equation; combined KdV and mKdV equation;

D O I：

10.1007/s10483-008-0108-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The longitudinal oscillation of a nonlinear elastic rod with lateral inertia are studied. A nonlinear wave equation is derived. The equation is solved by the method of full approximation.

引用

页码：61 / 66

页数：6

共 8 条

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[5] Perturbation analysis for wave equation of nonlinear elastic rod
Lu Ke-pu
Guo Peng
Zhang Lei
Yi Jin-qiao
Duan Wen-shan
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 27 (09) : 1233 - 1238
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[8] ZHUANG W, 1988, ACTA MECH SINICA, V20, P58

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