Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed

نویسندگان

  • Danielle Hilhorst
  • Yong-Jung Kim
چکیده

In this paper we present an intuitive explanation for the non-uniqueness of the traveling wave speed in the Fisher equation, showing a similar non-uniqueness property in the case of inviscid traveling waves. More precisely, we prove that traveling waves of the Fisher equation with wave speed c > 0 converges to the inviscid traveling wave with speed c > 0 as the diffusion vanishes. A complete diagram that shows the relation between the diffusive and inviscid traveling waves is given in this paper.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 60  شماره 

صفحات  -

تاریخ انتشار 2016