In this paper we investigate various forms of the chemical production–degradation mechanism in a chemotactic system of Keller–Segel type under which the existence of solitary wave solutions is guaranteed. Specifically, the existence of sech-type or compactly supported solitary wave solutions as well as exponential traveling wave profiles for the cell concentration is shown under certain conditions on the physical parameters.

中文翻译：

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使用来自 Doebner-Goldin 理论的非标准生产/降解机制模拟趋化性：孤立波的存在

在本文中，我们研究了 Keller-Segel 型趋化系统中各种形式的化学生产-降解机制，在该系统下，孤波解的存在是有保证的。具体而言，在物理参数的某些条件下，显示了 sech 型或紧凑支持的孤立波解以及细胞浓度的指数行波剖面的存在。