Communications in Mathematical Physics

, Volume 136, Issue 3, pp 519–542 | Cite as

Lie superalgebraic approach to super Toda lattice and generalized super KdV equations

  • Takeo Inami
  • Hiroaki Kanno


We propose a super Lax type equation based on a certain class of Lie superalgebra as a supersymmetric extension of generalized (modified) KdV hierarchy. We are able to construct an infinite set of conservation laws and the consistent time evolution generators for generalized modified super KdV equations. Thefirst few of the conserved currents, the (modified) super KdV equation and the super Miura transformation are worked out explicitly in the case of twisted affine Lie superalgebraOSp(2/2)(2).


Neural Network Complex System Time Evolution Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Takeo Inami
    • 1
  • Hiroaki Kanno
    • 1
  1. 1.Research Institute for Fundamental PhysicsKyoto UniversityKyotoJapan

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