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The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations
Based on the gradient-holonomic algorithm we analyse the integrability property of the generalized hydrodynamical Riemann type equation for arbitrary . The infinite hierarchies of polynomial and non-polynomial conservation laws, both dispersive and dispersionless are constructed. Special attention is paid to the cases N = 2, 3 and N = 4, …