2206.12942.pdf (326.12 kB)
Applications of Nijenhuis geometry IV: multicomponent KdV and Camassa-Holm equations
journal contribution
posted on 2023-03-07, 12:17 authored by Alexey BolsinovAlexey Bolsinov, Andrey Yu. Konyaev, Vladimir S. MatveevWe construct a new series of multi-component integrable PDE systems that contains as particular examples (with appropriately chosen param-eters) and generalises many famous integrable systems including KdV, coupled KdV [1], Harry Dym, coupled Harry Dym [2], Camassa-Holm, multi-component Camassa-Holm [14], Dullin-Gottwald-Holm and Kaup-Boussinesq systems. The series also contains integrable systems with no low-component analogues.
Funding
DFG grant MA 2565/7
History
School
- Science
Department
- Mathematical Sciences
Published in
Dynamics of Partial Differential EquationsVolume
20Issue
1Pages
73 - 98Publisher
International PressVersion
- AM (Accepted Manuscript)
Rights holder
© International Press of Boston, Inc.Publisher statement
This paper was accepted for publication in the journal Dynamics of Partial Differential Equations and the definitive published version is available at https://doi.org/10.4310/DPDE.2023.v20.n1.a4Acceptance date
2022-11-17Publication date
2022-12-23Copyright date
2022ISSN
1548-159XeISSN
2163-7873Publisher version
Language
- en
