Constructing nonlinear discrete integrable Hamiltonian couplings

نویسندگان

  • Wen-Xiu Ma
  • Zuo-Nong Zhu
چکیده

Beginning with Lax pairs from special non-semisimple matrix Lie algebras, we establish a scheme for constructing nonlinear discrete integrable couplings. Discrete variational identities over the associated loop algebras are used to build Hamiltonian structures for the resulting integrable couplings. We illustrate the application of the scheme by means of an enlargedVolterra spectral problemandpresent an example of nonlinear discrete integrable Hamiltonian couplings for the Volterra lattice equations. © 2010 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 60  شماره 

صفحات  -

تاریخ انتشار 2010