Non-autonomous Svinolupov Jordan KdV Systems

Abstract

Non-autonomous Svinolupov-Jordan systems are considered. The integrability criteria of such systems are associated with the existence of recursion operators. A new non-autonomous KdV system is obtained and its recursion operator is given for all $N$. The examples for N=2 and N=3 are studied in detail. Some possible transformations are also discussed which map some systems to autonomous cases.

Latex file (amssymb), 10 pages

References in corpus (1)

• On Construction of Recursion Operators From Lax Representation

Cited by in corpus (1)

• On the Classification of Darboux Integrable Chains