Fine structure of matrix Darboux-Toda integrable mapping

A. N. Leznov, E. A. Yuzbashyan

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The matrix Darboux-Toda mapping is represented as a product of a number of commutative mappings. The matrix Davey-Stewartson hierarchy is invariant with respect to each of these mappings. We thus introduce an entirely new type of discrete transformation for this hierarchy. The discrete transformation for the vector nonlinear Schrödinger system coincides with one of the mappings under necessary reduction conditions.

Original languageEnglish (US)
Pages (from-to)31-35
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number1-2
StatePublished - May 18 1998

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


  • Discrete symmetries of matrix nonlinear Schrödinger hierarchy
  • Matrix Darboux-Toda mapping


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