arXiv Open Access 2005

Classical $\bold{r}$-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras

Luen-Chau Li

Lihat Sumber

Abstrak

Given a classical $r$-matrix on a Poisson algebra, we show how to construct a natural family of compatible Poisson structures for the Hamiltonian formulation of Lax equations. Examples for which our formalism applies include the Benny hierachy, the dispersionless Toda lattice hierachy, the dispersionless KP and modified KP hierachies, the dispersionless Dym hierachy etc.

Topik & Kata Kunci

math-ph math.SG

Penulis (1)

Luen-Chau Li

Format Sitasi

APA MLA BibTeX

Li, L. (2005). Classical $\bold{r}$-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras. https://arxiv.org/abs/math-ph/0506029

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2005
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓