Nijenhuis几何的应用IV:多分量KdV和Camassa-Holm方程

IF 1.1 3区数学 Q2 MATHEMATICS, APPLIED Dynamics of Partial Differential Equations Pub Date : 2022-06-26 DOI:10.4310/DPDE.2023.v20.n1.a4

A. Bolsinov, A. Konyaev, V. Matveev

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引用次数: 6

摘要

我们构造了一系列新的多分量可积PDE系统，这些系统以KdV、耦合KdV[1]、Harry Dym、耦合Harry Dym[2]、Camassa-Holm、多分量Camassa-Holm[14]、kap - boussinesq系统等著名的可积系统为例(选取适当的参数)。该系列还包含无低分量类似物的可积系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Applications of Nijenhuis geometry IV: Multicomponent KdV and Camassa–Holm equations

We construct a new series of multicomponent integrable PDE systems that con-tain as particular example (with appropriately chosen parameters) many famous integrable systems including KdV, coupled KdV [1], Harry Dym, coupled Harry Dym [2], Camassa-Holm, multicomponent Camassa-Holm [14], Kaup-Boussinesq systems. The series contains also integrable systems with no low-component analogues.

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来源期刊

Dynamics of Partial Differential Equations 数学-应用数学

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes novel results in the areas of partial differential equations and dynamical systems in general, with priority given to dynamical system theory or dynamical aspects of partial differential equations.