Radiating Solitary Waves in an FPUT Lattice with Random Coefficients
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912602712440832 |
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| author | Hupkes, Hermen Jan McGinnis, Joshua A. Westdorp, Rik W. S. Wright, J. Douglas |
| author_facet | Hupkes, Hermen Jan McGinnis, Joshua A. Westdorp, Rik W. S. Wright, J. Douglas |
| contents | We study the propagation of solitary waves in a Fermi-Pasta-Ulam-Tsingou (FPUT) lattice with small random heterogeneity in the linear spring force. Perturbed by the random environment, solitary waves lose energy through a radiative tail, resulting in gradual amplitude attenuation. As long as the wave remains coherent, we track its position and amplitude via a modulation approach. An expansion of the resulting modulation equations provides explicit predictions for the slow average amplitude decay, which we verify through numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Radiating Solitary Waves in an FPUT Lattice with Random Coefficients Hupkes, Hermen Jan McGinnis, Joshua A. Westdorp, Rik W. S. Wright, J. Douglas Dynamical Systems 37K40, 37K60, 37H10 We study the propagation of solitary waves in a Fermi-Pasta-Ulam-Tsingou (FPUT) lattice with small random heterogeneity in the linear spring force. Perturbed by the random environment, solitary waves lose energy through a radiative tail, resulting in gradual amplitude attenuation. As long as the wave remains coherent, we track its position and amplitude via a modulation approach. An expansion of the resulting modulation equations provides explicit predictions for the slow average amplitude decay, which we verify through numerical simulations. |
| title | Radiating Solitary Waves in an FPUT Lattice with Random Coefficients |
| topic | Dynamical Systems 37K40, 37K60, 37H10 |
| url | https://arxiv.org/abs/2509.20165 |