TY - JOUR
T1 - A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy
AU - Samoilenko, Anatolij M.
AU - Prykarpatskyy, Yarema A.
AU - Blackmore, Denis
AU - Prykarpatski, Anatolij K.
N1 - Funding Information:
Authors are much obliged to Profs. J. Ciéslinski, M. Blaszak and M.Pavlov for very instrumental discussion of the work, valuable advice, comments and remarks. Special thanks are due the Scientific and Technological Research Council of Turkey (TUBITAK) for partial support of the research by A.K. Prykarpatski, and the National Science Foundation (Grant CMMI-1029809) for partial support of the research of D. Blackmore.
Funding Information:
Authors are much obliged to Profs. J. Ci?slinski, M. Blaszak and M.Pavlov for very instrumental discussion of the work, valuable advice, comments and remarks. Special thanks are due the Scientific and Technological Research Council of Turkey (TUBITAK) for partial support of the research by A.K. Prykarpatski, and the National Science Foundation (Grant CMMI-1029809) for partial support of the research of D. Blackmore.
Publisher Copyright:
© 2018 Miskolc University Press.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
KW - Bi- Hamiltonian structure
KW - Conservation laws
KW - Differential ideals
KW - Lax type integrability
KW - Lax-Noether equation
KW - Poissonian structures
KW - Riemann type hydrodynamic hierachy
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U2 - 10.18514/MMN.2018.2338
DO - 10.18514/MMN.2018.2338
M3 - Article
AN - SCOPUS:85049135448
SN - 1787-2405
VL - 19
SP - 555
EP - 567
JO - Miskolc Mathematical Notes
JF - Miskolc Mathematical Notes
IS - 1
ER -