The Differential-Algebraic Analysis of Symplectic and Lax Structures Related with New Riemann-Type Hydrodynamic Systems

A differential-algebraic approach to studying the Lax-type integrability of the generalized Riemann-type hydrodynamic hierarchy, proposed recently by O. D. Artemovych, M. V. Pavlov, Z. Popowicz and A. K. Prykarpatski, is developed. In addition to the Lax-type representation, found before by Z. Popow...

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Veröffentlicht in:	Reports on mathematical physics 2013-06, Vol.71 (3), p.305-351
Hauptverfasser:	Prykarpatsky, Yarema A., Artemovych, Orest D., Pavlov, Maxim V., Prykarpatski, Anatolij K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Compatibility compatible Poisson structures Computational fluid dynamics Degasperis–Processi equation differential-algebraic methods Fluid flow generalized Ostrovsky–Vakhnenko equation gradient holonomic algorithm Hierarchies Hydrodynamics Integral calculus Lax type integrability Lax-type representation Mathematical analysis Representations
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