On Non-Commutative Integrable Burgers Equations

Abstract

We construct the recursion operators for the non-commutative Burgers equations using their Lax operators. We investigate the existence of any integrable mixed version of left- and right-handed Burgers equations on higher symmetry grounds.

8 pages

References in corpus (5)

• On Construction of Recursion Operators From Lax Representation
• Noncommutative Burgers Equation
• A strange recursion operator for a new integrable system of coupled Korteweg - de Vries equations
• Cyclic bases of zero-curvature representations: five illustrations to one concept
• Time Dependent Recursion Operators and Symmetries

Cited by in corpus (2)

• Recursion Operators admitted by non-Abelian Burgers equations: Some Remarks
• Soliton equations: admitted solutions and invariances via Bäcklund transformations