Burgers equation on networks: Metric graph based approach
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917987002351616 |
|---|---|
| author | Sabirov, K. K. Matyokubov, Kh. Sh. Matrasulov, D. U. |
| author_facet | Sabirov, K. K. Matyokubov, Kh. Sh. Matrasulov, D. U. |
| contents | Weconsider Burgers equation on metric graphs for simplest topologies such as star, loops, and tree graphs. Exact traveling wave solutions are obtained for the vertex boundary conditions providing mass conservation and continuity of the solution at the nodes. Constraints for the nonlinearity coefficients ensuring integrability of the Burgers equation are derived. Numerical treatment of the soliton dynamics and their transmission through the graph vertex is presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12232 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Burgers equation on networks: Metric graph based approach Sabirov, K. K. Matyokubov, Kh. Sh. Matrasulov, D. U. Exactly Solvable and Integrable Systems Atmospheric and Oceanic Physics Applied Physics Fluid Dynamics Weconsider Burgers equation on metric graphs for simplest topologies such as star, loops, and tree graphs. Exact traveling wave solutions are obtained for the vertex boundary conditions providing mass conservation and continuity of the solution at the nodes. Constraints for the nonlinearity coefficients ensuring integrability of the Burgers equation are derived. Numerical treatment of the soliton dynamics and their transmission through the graph vertex is presented. |
| title | Burgers equation on networks: Metric graph based approach |
| topic | Exactly Solvable and Integrable Systems Atmospheric and Oceanic Physics Applied Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2504.12232 |