• Corpus ID: 245837847

The multi-component nonisospectral KdV hierarchies associated with a novel kind of N-dimensional Lie algebra

  title={The multi-component nonisospectral KdV hierarchies associated with a novel kind of N-dimensional Lie algebra},
  author={Haifeng Wang},
: A new class of N -dimensional Lie algebra is constructed to generate multi-component hierarchy of soliton equations. In this paper, we consider a nonisospectral problem, from which we obtain a nonisospectral KdV integrable hierarchy. Then, we deduce a coupled nonisospectral KdV hierarchy by means of the corresponding higher-dimensional loop algebra. It follows that the K symmetries, τ symmetries and their Lie algebra of the coupled nonisospectral KdV hierarchy are investigated. The bi… 



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