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A new discrete integrable system and its discrete integrable coupling system

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  • Yu, Fajun
  • Zhang, Hongqing

Abstract

In terms of the properties of the known loop algebra A∼1 and difference operators, a new algebraic system X is constructed, which is devote to working out the well-known generalized cubic Volterra lattice equations hierarchy. Then an extended algebraic system X∼ of X is presented, from which the integrable coupling system of generalized cubic Volterra lattice equations are obtained.

Suggested Citation

  • Yu, Fajun & Zhang, Hongqing, 2006. "A new discrete integrable system and its discrete integrable coupling system," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1173-1177.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:5:p:1173-1177
    DOI: 10.1016/j.chaos.2005.08.087
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