On Integrability of the Camassa–Holm Equation and Its InvariantsA Geometrical Approch

被引：0

作者：

V. Golovko

P. Kersten

I. Krasil’shchik

A. Verbovetsky

机构：

[1] Lomonosov MSU,Department of Mathematics, Faculty of Physics

[2] University of Twente,undefined

[3] Independent University of Moscow,undefined

来源：

Acta Applicandae Mathematicae | 2008年 / 101卷

关键词：

Camassa–Holm equation; Integrability; Hamiltonian structures; Symplectic structures; Recursion operators; Symmetries; Conservation laws; Geometrical approach; 37K05; 35Q53;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using geometrical approach exposed in (Kersten et al. in J. Geom. Phys. 50:273–302, [2004] and Acta Appl. Math. 90:143–178, [2005]), we explore the Camassa–Holm equation (both in its initial scalar form, and in the form of 2×2-system). We describe Hamiltonian and symplectic structures, recursion operators and infinite series of symmetries and conservation laws (local and nonlocal).

引用

页码：59 / 83

页数：24

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