Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909018189987840 |
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| author | Gaudry, Théo Klein, Christian Saut, Jean-Claude Stoilov, Nikola |
| author_facet | Gaudry, Théo Klein, Christian Saut, Jean-Claude Stoilov, Nikola |
| contents | In this work we consider the well posed version of the Kaup-Broer-Kuperschmidt system in two dimensions. We numerically construct soliton type solutions and show that they are unstable both against dispersion and singularity formation. Further, we study line solitons and their stability, as well as generally localised initial data. In either case we fail to find stable structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05183 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system Gaudry, Théo Klein, Christian Saut, Jean-Claude Stoilov, Nikola Analysis of PDEs Numerical Analysis In this work we consider the well posed version of the Kaup-Broer-Kuperschmidt system in two dimensions. We numerically construct soliton type solutions and show that they are unstable both against dispersion and singularity formation. Further, we study line solitons and their stability, as well as generally localised initial data. In either case we fail to find stable structures. |
| title | Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2605.05183 |