An Operator Valued Extension of the Super KdV Equations

Details An Operator Valued Extension of the Super KdV Equations An Operator Valued Extension of the Super KdV Equations

2000-07-13

arxiv.org/abs/hep-th/0007103v1

J.Math.Phys. 42 (2001) 2625-2634

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 14 pages

Scientific paper

10.1063/1.1368139

An extension of the Super KdV integrable system in terms of operator valued functions is obtained. Following the ideas of Gardner, a general algebraic approach for finding the infinitely many conserved quantities of integrable systems is presented. The approach is applied to the above described system and infinitely many conserved quantities are constructed. In a particular case they reduce to the corresponding conserved quantities of Super KdV.

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