Heat and thermal travelling wave solutions of a nonlinear Maxwell-Cattaneo-Vernotte equation
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911582530830336 |
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| author | Filippo, Munafò Carmelo Patrizia, Rogolino Michele, Sciacca |
| author_facet | Filippo, Munafò Carmelo Patrizia, Rogolino Michele, Sciacca |
| contents | The propagation of heat and thermal signals in the form of travelling waves is investigated for a nonlinear Maxwell-Cattaneo-Vernotte equation. The exact wave solutions are derived by expressing the thermal conductivity and the relaxation time as polynomial functions of the temperature. This approach enables the identification of suitable degrees of nonlinearity that give rise to soliton solutions. Finally, exact solutions are shown through plots for the values of the selected parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09432 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Heat and thermal travelling wave solutions of a nonlinear Maxwell-Cattaneo-Vernotte equation Filippo, Munafò Carmelo Patrizia, Rogolino Michele, Sciacca Mathematical Physics Analysis of PDEs The propagation of heat and thermal signals in the form of travelling waves is investigated for a nonlinear Maxwell-Cattaneo-Vernotte equation. The exact wave solutions are derived by expressing the thermal conductivity and the relaxation time as polynomial functions of the temperature. This approach enables the identification of suitable degrees of nonlinearity that give rise to soliton solutions. Finally, exact solutions are shown through plots for the values of the selected parameters. |
| title | Heat and thermal travelling wave solutions of a nonlinear Maxwell-Cattaneo-Vernotte equation |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2604.09432 |