Dispersionful analogue of the Whitham hierarchy

Abstract

The dispersionful analogue, by means of Lax formalism, of the zero-genus universal Whitham hierarchy together with its algebraic orbit finite-field reductions is considered. The theory is illustrated by several significant examples.

21 pages

References in corpus (3)

• Coisotropic deformations of associative algebras and dispersionless integrable hierarchies
• Universal Whitham hierarchy, dispersionless Hirota equations and multi-component KP hierarchy
• Dispersionless integrable equations as coisotropic deformations. Extensions and reductions

Cited by in corpus (3)

• Classical R-matrix theory for bi-Hamiltonian field systems
• An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures
• Mirror symmetry for extended affine Weyl groups