On deformations of standard R-matrices for integrable infinite-dimensional systems

Abstract

Simple deformations, with a parameter $\epsilon$, of classical $R$-matrices which follow from decomposition of appropriate Lie algebras, are considered. As a result nonstandard Lax representations for some well known integrable systems are presented as well as new integrable evolution equations are constructed.

14 pages

References in corpus (2)

• Classical R-matrix theory of dispersionless systems: I. (1+1)-dimension theory
• From dispersionless to soliton systems via Weyl-Moyal like deformations

Cited by in corpus (2)

• Classical R-matrix theory for bi-Hamiltonian field systems
• On a transformation between hierarchies of integrable equations