English

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

Analysis of PDEs 2025-10-28 v2 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.2409.12463,
  title  = {Complete Classification of Traveling Waves and Resolution of Linear Conjecture in Monostable Systems},
  author = {Changhong Wu and Dongyuan Xiao and Maolin Zhou},
  journal= {arXiv preprint arXiv:2409.12463},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:2408.10480