Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations
Exactly Solvable and Integrable Systems
2015-05-19 v4 Mathematical Physics
math.MP
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.1005.2660,
title = {Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations},
author = {Anatoliy K. Prykarpatsky and Orest D. Artemovych and Ziemowit Popowicz and Maxim V. Pavlov},
journal= {arXiv preprint arXiv:1005.2660},
year = {2015}
}
Comments
11 pages