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Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation

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  • Binlu Feng
  • Yufeng Zhang

Abstract

Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the corresponding negative-order integrable couplings of the negative-order KdV equations are followed to be obtained. The resulting Hamiltonian structure of one negative integrable coupling is derived from the variational identity.

Suggested Citation

  • Binlu Feng & Yufeng Zhang, 2015. "Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-8, January.
    • Handle: RePEc:hin:jnlamp:154915
    DOI: 10.1155/2015/154915
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