Numerical study of solitary waves in Dirac--Klein--Gordon system
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917219155312640 |
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| author | Comech, Andrew Ricaud, Julien Roque, Marco |
| author_facet | Comech, Andrew Ricaud, Julien Roque, Marco |
| contents | We use numerics to construct solitary waves $ϕ_ω(x) e^{-\mathrm{i}ωt}$ in Dirac--Klein--Gordon (in one and three spatial dimensions) and study the dependence of energy and charge of $ω$. To construct solitary waves, we use two different procedures: the iterative method and the nested shooting method. We also consider the case of massless scalar field where we show that the standard shooting method becomes available. We use the virial identities to control the error of simulations. We discuss possible implications for the stability of solitary waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24954 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical study of solitary waves in Dirac--Klein--Gordon system Comech, Andrew Ricaud, Julien Roque, Marco Mathematical Physics Analysis of PDEs We use numerics to construct solitary waves $ϕ_ω(x) e^{-\mathrm{i}ωt}$ in Dirac--Klein--Gordon (in one and three spatial dimensions) and study the dependence of energy and charge of $ω$. To construct solitary waves, we use two different procedures: the iterative method and the nested shooting method. We also consider the case of massless scalar field where we show that the standard shooting method becomes available. We use the virial identities to control the error of simulations. We discuss possible implications for the stability of solitary waves. |
| title | Numerical study of solitary waves in Dirac--Klein--Gordon system |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2512.24954 |