Non-autonomous Svinolupov-Jordan KdV systems


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Gurses M., Karasu A. , Turhan R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.34, sa.28, ss.5705-5711, 2001 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Konu: 28
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1088/0305-4470/34/28/306
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.5705-5711

Özet

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.