Asymptotic analysis of small energy breathers for the nonlinear Klein-Gordon equation
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908675827826688 |
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| author | Kowalczyk, Michał Martel, Yvan |
| author_facet | Kowalczyk, Michał Martel, Yvan |
| contents | For a class of nonlinear Klein-Gordon equations, we prove that in the small energy limit, any sequence of breathers decomposes into a finite sum of decoupled, periodically modulated canonical solitons. Each of these solitons is asymptotically equal to an explicit sine-Gordon breather and the distance between them grows to infinity as the energy decreases to 0. Finally we prove that none of these breathers is centered in a bounded set provided that a certain non resonance condition holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic analysis of small energy breathers for the nonlinear Klein-Gordon equation Kowalczyk, Michał Martel, Yvan Analysis of PDEs For a class of nonlinear Klein-Gordon equations, we prove that in the small energy limit, any sequence of breathers decomposes into a finite sum of decoupled, periodically modulated canonical solitons. Each of these solitons is asymptotically equal to an explicit sine-Gordon breather and the distance between them grows to infinity as the energy decreases to 0. Finally we prove that none of these breathers is centered in a bounded set provided that a certain non resonance condition holds. |
| title | Asymptotic analysis of small energy breathers for the nonlinear Klein-Gordon equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.20553 |