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  • 标题:The dynamic properties of solutions for a nonlinear shallow water equation
  • 本地全文:下载
  • 作者:Yeqin Su ; Shaoyong Lai ; Sen Ming
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-12
  • DOI:10.1186/s13661-019-1281-2
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The local well-posedness for the Cauchy problem of a nonlinear shallow water equation is established. The wave-breaking mechanisms, global existence, and infinite propagation speed of solutions to the equation are derived under certain assumptions. In addition, the effects of coefficients λ, β, a, b, and index k in the equation are illustrated.
  • 关键词:Local well-posedness; Wave-breaking; Global solution; Infinite propagation speed
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