Complex-Valued Burgers and KdV-Burgers Equations

نویسندگان

  • Netra Khanal
  • Jiahong Wu
  • Juan-Ming Yuan
  • Bing-Yu Zhang
چکیده

Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T , there exists an explicit initial data such that its corresponding solution of the Burgers equation blows up at T . In addition, the global convergence and regularity of series solutions is established for initial data satisfying mild conditions.

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عنوان ژورنال:
  • J. Nonlinear Science

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2010