Yayınlanmış 1 Ocak 2018 | Sürüm v1
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A NOVEL INTEGRABILITY ANALYSIS OF A GENERALIZED RIEMANN TYPE HYDRODYNAMIC HIERARCHY

  • 1. New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
  • 2. Cracow Univ Technol, Inst Math, Krakow, Poland

Açıklama

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.

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