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arxiv: 1005.2660 · v4 · pith:ALJEPJA7new · submitted 2010-05-15 · 🌊 nlin.SI · math-ph· math.MP· physics.flu-dyn

Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations

classification 🌊 nlin.SI math-phmath.MPphysics.flu-dyn
keywords typeintegrabilityapproachdifferential-algebraicequationsgeneralizedkorteweg-deriemann
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A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic equations at N = 3; 4 is devised. The approach is also applied to studying the Lax type integrability of the well known Korteweg-de Vries dynamical system.

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