A Lie Algebraic Structure of G.J. and Its Gauge Equivalent Yang Hierarchies

  • Yishen Li
  • Yi Cheng
  • Yunbo Zeng
Part of the Research Reports in Physics book series (RESREPORTS)


We establish in this paper an infinite dimensional Lie algebraic structure of the integrable hamiltonion system associated with.G.J and it gauge equivalent Yang equation. since the recursion operator associated with these two systems are not hereditary, a new approach is needed which make no use the hereditary property.


Eigenvalue Problem Gauge Transformation Nonlinear Evolution Nonlinear Evolution Equation Nonlinear Physic 
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1990

Authors and Affiliations

  • Yishen Li
    • 1
  • Yi Cheng
    • 1
  • Yunbo Zeng
    • 1
  1. 1.Department of MathematicsUniversity of Science and Technology of ChinaHefeiPeople’s Rep. of China

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