Non-autonomous Svinolupov-Jordan KdV systems

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Gurses M., Karasu A., Turhan R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.34, no.28, pp.5705-5711, 2001 (SCI-Expanded) identifier identifier


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