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<p>This paper is concerned with generalized pyramidal traveling fronts of bistable reaction-diffusion equations. By mixing any finite planar fronts with the same speed <i>c</i> &gt; <i>c</i><sub><i>f</i></sub> in the <i>y</i> direction, we can constitute a generalized pyramidal traveling front. We then show that mixing any two generalized pyramidal traveling fronts is the same as mixing two groups of planar fronts. Finally, we show a characterization result of almost pyramidal traveling fronts, that is, an almost pyramidal traveling front is a generalized pyramidal traveling front.</p>

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Generalized pyramidal traveling fronts of bistable reaction-diffusion equations

  • 期刊论文

  • 发表日期：

    2025年1月21日

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  • Linlin Li,
  • Yan Li

摘要

This paper is concerned with generalized pyramidal traveling fronts of bistable reaction-diffusion equations. By mixing any finite planar fronts with the same speed c > cf in the y direction, we can constitute a generalized pyramidal traveling front. We then show that mixing any two generalized pyramidal traveling fronts is the same as mixing two groups of planar fronts. Finally, we show a characterization result of almost pyramidal traveling fronts, that is, an almost pyramidal traveling front is a generalized pyramidal traveling front.