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

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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Bibliographic Details
Published in:arXiv.org 2010-05
Main Authors: Prykarpatsky, Anatoliy K, Artemovych, Orest D, Popowicz, Ziemowit, Pavlov, Maxim V
Format: Article
Language:English
Subjects:
Algebra
Differential equations
Economic models
Hydrodynamic equations
Mathematical analysis
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1005.2660