Existence of Traveling Waves in Infinite Range FPUT Lattices
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917235361054720 |
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| author | Herrmann, Michael Matthies, Karsten Meyer, Jan-Patrick |
| author_facet | Herrmann, Michael Matthies, Karsten Meyer, Jan-Patrick |
| contents | We prove the existence of solitary waves in a lattice where all particles interact with each other by pair-wise repulsive forces that decay with distance. The variational existence proof is based on constrained optimization and provides a one-parameter family of unimodal solutions. We also describe the asymptotic behavior of large, fast, high-energy waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_23091 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of Traveling Waves in Infinite Range FPUT Lattices Herrmann, Michael Matthies, Karsten Meyer, Jan-Patrick Analysis of PDEs Dynamical Systems We prove the existence of solitary waves in a lattice where all particles interact with each other by pair-wise repulsive forces that decay with distance. The variational existence proof is based on constrained optimization and provides a one-parameter family of unimodal solutions. We also describe the asymptotic behavior of large, fast, high-energy waves. |
| title | Existence of Traveling Waves in Infinite Range FPUT Lattices |
| topic | Analysis of PDEs Dynamical Systems |
| url | https://arxiv.org/abs/2601.23091 |