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立方非线性微结构固体中的对称孤立波及存在条件

那仁满都拉 额尔敦仓

那仁满都拉, 额尔敦仓. 立方非线性微结构固体中的对称孤立波及存在条件[J]. 应用数学和力学, 2014, 35(11): 1210-1217. doi: 10.3879/j.issn.1000-0887.2014.11.004
引用本文: 那仁满都拉, 额尔敦仓. 立方非线性微结构固体中的对称孤立波及存在条件[J]. 应用数学和力学, 2014, 35(11): 1210-1217. doi: 10.3879/j.issn.1000-0887.2014.11.004
Naranmandula, Ereduncang. Symmetric Solitary Waves and Their Existence Conditions in Cubic Nonlinear Microstructured Solids[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1210-1217. doi: 10.3879/j.issn.1000-0887.2014.11.004
Citation: Naranmandula, Ereduncang. Symmetric Solitary Waves and Their Existence Conditions in Cubic Nonlinear Microstructured Solids[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1210-1217. doi: 10.3879/j.issn.1000-0887.2014.11.004

立方非线性微结构固体中的对称孤立波及存在条件

doi: 10.3879/j.issn.1000-0887.2014.11.004
基金项目: 国家自然科学基金(11462019; 10862003)
详细信息
    作者简介:

    那仁满都拉(1963—),男,蒙古族,内蒙古通辽人,教授,博士,硕士生导师(通讯作者. E-mail: nrmdltl@126.com).

  • 中图分类号: O331;O347

Symmetric Solitary Waves and Their Existence Conditions in Cubic Nonlinear Microstructured Solids

Funds: The National Natural Science Foundation of China(11462019; 10862003)
  • 摘要: 考虑固体材料的宏观尺度立方非线性效应、微尺度立方非线性效应以及微尺度频散效应并根据修正的Mindlin理论,建立了一维微结构固体中纵波传播的一种新模型.用动力系统的定性分析方法,证明了适当条件下立方非线性微结构固体中可存在对称钟型孤立波和反钟型孤立波,并给出了两种孤立波的存在条件.用数值方法分析了微尺度立方非线性效应对钟型与反钟型孤立波的影响,结果显示随着微尺度非线性效应的增强(或负增强),两种孤立波的宽度变窄(或变宽)而幅度保持不变.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2014-05-22
  • 修回日期:  2014-06-22
  • 刊出日期:  2014-11-18

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