A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy

Anatolij M. Samoilenko, Yarema A. Prykarpatskyy, Denis Blackmore, Anatolij K. Prykarpatski

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The complete integrability of a generalized Riemann type hydrodynamic hierarchy is studied by means of a novel combination of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, a Lax representation and a related infinite hierarchy of conservation laws are constructed. The current investigation provides an interesting glimpse of what is apparently a far wider range of applications.

Original languageEnglish (US)
Pages (from-to)555-567
Number of pages13
JournalMiskolc Mathematical Notes
Volume19
Issue number1
DOIs
StatePublished - 2018

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Numerical Analysis
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

Keywords

  • Bi- Hamiltonian structure
  • Conservation laws
  • Differential ideals
  • Lax type integrability
  • Lax-Noether equation
  • Poissonian structures
  • Riemann type hydrodynamic hierachy

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