A bi-Hamiltonian Integrable Two Component Generalization of the third-Order Burgers Equation

Abstract

We announce a new bi-Hamiltonian integrable two-component system admitting the scalar 3rd-order Burgers equation as a reduction.

4 pages

References in corpus (5)

• The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy
• Classification of polynomial integrable systems of mixed scalar and vector evolution equations. I
• A strange recursion operator for a new integrable system of coupled Korteweg - de Vries equations
• Non-local Hamiltonian structures and applications to the theory of integrable systems I
• On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators