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A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures

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  • Wei, Jiao
  • Geng, Xianguo

Abstract

With the aid of the zero-curvature equation, a hierarchy of new nonlinear evolution equations is proposed, which is associated with a 3 × 3 matrix spectral problem with four potentials. The generalized bi-Hamiltonian structures for the hierarchy are derived by using the trace identity. Furthermore, we construct the infinite conservation laws of a typical nonlinear evolution equation in the hierarchy by utilizing spectral parameter expansion.

Suggested Citation

  • Wei, Jiao & Geng, Xianguo, 2015. "A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 664-670.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:664-670
    DOI: 10.1016/j.amc.2015.06.105
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