Non-autonomous Svinolupov Jordan KdV Systems

Details Non-autonomous Svinolupov Jordan KdV Systems Non-autonomous Svinolupov Jordan KdV Systems

2001-01-18

arxiv.org/abs/nlin/0101031v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex file (amssymb), 10 pages

Scientific paper

10.1088/0305-4470/34/28/306

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.

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