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期刊信息
  • 主管单位:
  • 上海市教育委员会
  • 主办单位:
  • 上海理工大学
  • 主  编:
  • 庄松林
  • 地  址:
  • 上海市军工路516号
  • 邮政编码:
  • 200093
  • 联系电话:
  • 021-55277251
  • 电子邮件:
  • xbzrb@usst.edu.cn
  • 国际标准刊号:
  • 1007-6735
  • 国内统一刊号:
  • 31-1739/T
  • 邮发代号:
  • 4-401
  • 单  价:
  • 15.00
  • 定  价:
  • 90.00
张坤,汪成伟,张卫国.广义河床流体模型方程单调递减扭状孤波解的渐近稳定性[J].上海理工大学学报,2022,44(5):477-489.
广义河床流体模型方程单调递减扭状孤波解的渐近稳定性
Asymptotic stability of the monotone decreasing kink profile solitary-wave solution for generalized river-bed model equation
投稿时间:2021-11-15  
DOI:10.13255/j.cnki.jusst.20211115001
中文关键词:  广义河床流体模型方程  单调递减扭状孤波解  渐近稳定性  能量先验估计
英文关键词:generalized river-bed model equation  monotone decreasing kink profile solitary-wave solution  asymptotic stability  energy priori estimate
基金项目:国家自然科学基金资助项目(11471215)
作者单位E-mail
张坤 上海理工大学 理学院上海 200093  
汪成伟 上海理工大学 理学院上海 200093  
张卫国 上海理工大学 理学院上海 200093 zwgzwm@126.com 
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中文摘要:
      研究了广义河床流体模型方程单调递减扭状孤波解的渐近稳定性。首先运用平面动力系统的理论和方法证明了该方程扭状孤波解的存在性;其次证明了该单调递减扭状孤波解具有的3个性质,特别是给出了该行波解的一阶和二阶导数估计式;最后运用反导数方法、先验估计方法和Young不等式,证明了该模型方程单调递减扭状孤波解是渐近稳定的。
英文摘要:
      The asymptotic stability of monotone decreasing kink profile solitary-wave solution for generalized river-bed model equation was mainly studied. Firstly, by using the theory of planar dynamical system, the existence of kink profile solitary-wave solution of this equation was proved. Secondly, three properties of the monotone decreasing kink profile solitary-wave solution were proved, especially the first-order and second-order derivative estimation formulas of this traveling wave solution were given. Finally, by using anti-derivative strategy, with the help of priori estimate and Young inequality, it was proved that the monotone decreasing kink profile solitary-wave solution of model equation was asymptotically stable.
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