Complete Classification of Traveling Waves and Resolution of Linear Conjecture in Monostable Systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911232328466432 |
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| author | Wu, Changhong Xiao, Dongyuan Zhou, Maolin |
| author_facet | Wu, Changhong Xiao, Dongyuan Zhou, Maolin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complete Classification of Traveling Waves and Resolution of Linear Conjecture in Monostable Systems Wu, Changhong Xiao, Dongyuan Zhou, Maolin Analysis of PDEs Dynamical Systems 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. |
| title | Complete Classification of Traveling Waves and Resolution of Linear Conjecture in Monostable Systems |
| topic | Analysis of PDEs Dynamical Systems |
| url | https://arxiv.org/abs/2409.12463 |