Gauge transformation and reciprocal link for (2+1)-dimensional integrable field systems

Abstract

Appropriate restrictions of Lax operators which allows to construction of (2+1)-dimensional integrable field systems, coming from centrally extended algebra of pseudo-differential operators, are reviewed. The gauge transformation and the reciprocal link between three classes of Lax hierarchies are established.

to appear in J. Nonl. Math. Phys., 12 pages

References in corpus (4)

• Classical R-matrix theory of dispersionless systems: I. (1+1)-dimension theory
• Classical $\mathbf{r}$-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras
• Classical R-matrix theory of dispersionless systems: II. (2+1)-dimension theory
• From dispersionless to soliton systems via Weyl-Moyal like deformations

Cited by in corpus (1)

• Classical R-matrix theory for bi-Hamiltonian field systems