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PreprintCC BY 4.0arXiv

Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system

  • Théo Gaudry
  • Christian Klein
  • Jean-Claude Saut
  • Nikola Stoilov
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@misc{gaudry2026numerical,
  title = {{Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system}},
  author = {Théo Gaudry and Christian Klein and Jean-Claude Saut and Nikola Stoilov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.05183},
  eprint = {2605.05183},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.05183},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
AU  - Théo Gaudry
AU  - Christian Klein
AU  - Jean-Claude Saut
AU  - Nikola Stoilov
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2605.05183
UR  - https://arxiv.org/abs/2605.05183
AB  - 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.
ER  -