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arXiv · 1005.2660

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

Anatoliy K. Prykarpatsky·Orest D. Artemovych·Ziemowit Popowicz·Maxim V. Pavlov
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Abstract

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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Anatoliy K. Prykarpatsky, Orest D. Artemovych, Ziemowit Popowicz, Maxim V. Pavlov. 2010-05-27. Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations. https://doi.org/10.1088/1751-8113%2F43%2F29%2F295205

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