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arXiv · 2409.12463

Complete Classification of Traveling Waves and Resolution of Linear Conjecture in Monostable Systems

Changhong Wu·Dongyuan Xiao·Maolin Zhou
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Abstract

In this paper, we present a complete classification of traveling wave solutions for monostable systems within a unified framework. To this end, we introduce a novel technique, referred to as the slicing method, which is based on the construction of suitable super- and sub-solutions.

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Changhong Wu, Dongyuan Xiao, Maolin Zhou. 2024-09-19. Complete Classification of Traveling Waves and Resolution of Linear Conjecture in Monostable Systems. https://arxiv.org/abs/2409.12463

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