A family of second Lie algebra structures for symmetries of dispersionless Boussinesq system

Abstract

For the 3-component dispersionless Boussinesq-type system, we construct two compatible nontrivial finite deformations for the Lie algebra structure in the symmetry algebra.

9 pages, includes Maple program

References in corpus (3)

• Symmetry algebras of Lagrangian Liouville-type systems
• Variational Poisson-Nijenhuis structures for partial differential equations
• Involutive distributions of operator-valued evolutionary vector fields

Cited by in corpus (4)

• Variational Lie algebroids and homological evolutionary vector fields
• Involutive distributions of operator-valued evolutionary vector fields and their affine geometry. II
• Homological evolutionary vector fields in Korteweg-de Vries, Liouville, Maxwell, and several other models
• A convenient criterion under which Z_2-graded operators are Hamiltonian