Negative times of the Davey–Stewartson integrable hierarchy

Andrei K. Pogrebkov

Research output: Contribution to journalArticlepeer-review


We use example of the Davey–Stewartson hierarchy to show that in addition to the standard equations given by Lax operator and evolutions of times with positive numbers, one can consider time evolutions with negative numbers and the same Lax operator. We derive corresponding Lax pairs and integrable equations.

Original languageEnglish
Article number091
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Publication statusPublished - 2021


  • Commutator identities
  • Integrable hierarchies
  • Reductions


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