Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations

被引：0
|
作者：
V. Bolsinov, Alexey V. [1 ]
Konyaev, Andrey Yu. [2 ,3 ]
Matveev, Vladimir S. [4 ]
机构：
[1] Loughborough Univ, Dept Math Sci, Loughborough LE11 3TU, England
[2] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119992, Russia
[3] Moscow Ctr Fundamental & Appl Math, Moscow 119992, Russia
[4] Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, Germany
来源：
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 20卷 / 01期
关键词：
Multicomponent integrable PDE systems; Korteweg-de Vries equation; Camassa-Holm equation; Harry Dym equation; Nijenhuis operator; evolutionary flow; conservation laws and symmetries; CHAINS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a new series of multi-component integrable PDE systems that contains as particular examples (with appropriately chosen parameters) 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.
引用
收藏
页码：73 / 98
页数：26
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