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Some New Expressions of Compactons in Compressible Elastic Rods

Some New Expressions of Compactons in Compressible Elastic Rods
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摘要 In this paper, we use phase plane analysis to study the compactons of the nonlinear equation. Four new implicit expressions of the compactons are obtained. These new implicit expressions are given by inverse tangent functions. Our work extends previous results. For two sets of the data, the graphs of the implicit functions are drawn and numerical simulations are given to test the correctness of our theoretical results. In this paper, we use phase plane analysis to study the compactons of the nonlinear equation. Four new implicit expressions of the compactons are obtained. These new implicit expressions are given by inverse tangent functions. Our work extends previous results. For two sets of the data, the graphs of the implicit functions are drawn and numerical simulations are given to test the correctness of our theoretical results.
作者 Chen-xi Yang Min-ying Tang
机构地区 Department of Mathematics of Yuxi Normal College School of Mathematical Sciences and Center for Nonlinear Science Studies
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2006年第3期487-494,共8页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China （No.10571062 10371037）.Acknowledgment The first author thanks to the Department of Science and Technology of Yuxi City for its support for doing this work.
关键词 COMPACTONS bifurcation method implicit expressions numerical simulations Compactons, bifurcation method, implicit expressions, numerical simulations
分类号 O177.91 [理学—基础数学]
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参考文献17

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Acta Mathematicae Applicatae Sinica
2006年 第3期

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