ABOUT PAINLEVE PROPERTY OF A HYDRODYNAMIC SYSTEM

Abstract

We represent conditions of hydrodynamic system when it passes the Painleve test. We use Kovaleskaya-Gambie method for fourth order ordinary differential system. We obtain Lorenz-like dynamic, hydrodynamic system.

Authors and Affiliations

Gleb Vodinchar, Dmitriy Noshenko, Andrey Perezhogin

Keywords

Related Articles

METHOD OF MONITORING OF UNDISTURBED RADON FLUX DENSITY FROM THE SOIL SURFACE

The results of analysis of existing measurement methods of radon flux density from the soil surface were presented in this work, and the revealed disadvantages of the methods were indicated. A new method of monitoring of...

SYNTHESIS OF NATURAL OBJECT MODELS ACCORDING TO OBSERVATION DATA

The problems of model synthesis according to data received by monitoring object state are considered in this article. The current state of the object and its state at different time intervals are of interest. Known model...

THE TRICOMI PROBLEM FOR A THIRD ORDER HYPERBOLIC EQUATION DEGENERATING INSIDE THE DOMAIN

In this paper, we study the Tricomi problem for a third-order hyperbolic equation with degeneracy of order inside a mixed domain. The existence and uniqueness theorem for a regular solution is proved.

MATHEMATICAL MODELING OF NONLOCAL OSCILLATORY DUFFING SYSTEM WITH FRACTAL FRICTION

The paper considers a nonlinear fractal oscillatory Duffing system with friction. The numerical analysis of this system by a finite-difference scheme was carried out. Phase portraits and system solutions were constructed...

A PRIORI ESTIMATES OF THE SOLUTION BOUNDARY VALUE PROBLEMS FOR THE CONVECTION-DIFFUSION EQUATION OF FRACTIONAL ORDER

In this paper, the method of energy inequalities obtained a priori estimates of the first and third boundary value problems for the convection-diffusion equation of fractional order, from which follows the uniqueness and...

Download PDF file
  • EP ID EP487468
  • DOI 10.18454/2079-6641-2016-14-3-29-33
  • Views 115
  • Downloads 0

How To Cite

Gleb Vodinchar, Dmitriy Noshenko, Andrey Perezhogin (2016). ABOUT PAINLEVE PROPERTY OF A HYDRODYNAMIC SYSTEM. Вестник КРАУНЦ. Физико-математические науки, 3(), 29-33. https://europub.co.uk./articles/-A-487468