Differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann hierarchy revisited
Yarema A. Prykarpatskyy , Orest D. Artemovych , Maxim V. Pavlov , Anatolij K. Prykarpatsky
AbstractA differential-algebraic approach to studying the Lax integrability of the generalized Riemann type hydrodynamic hierarchy is revisited and its new Lax representation is constructed in exact form. The bi-Hamiltonian integrability of the generalized Riemann type hierarchy is discussed by means of the gradient-holonomic and symplectic methods and the related compatible Poissonian structures for N = 3 and N = 4 are constructed
|Journal series||Journal of Mathematical Physics, ISSN 1089-7658, e-ISSN 0022-2488, (A 25 pkt)|
|Publication size in sheets||0.95|
|Publication indicators||: 2014 = 1.029; : 2012 = 1.296 (2) - 2012=1.284 (5)|
|Finansowanie||Special acknowledgment belongs to the Scientific and Technological Research Council of Turkey (TÜBITAK-2011) for partial support of the research by A. K. Prykarpatsky and Y. A. Prykarpatsky. M.V.P. was in part supported by RFBR Grant No. 08-01-00054 and a grant of the RAS Presidium “Fundamental Problems in Nonlinear Dynamics.”|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.