On Algorithm of Integrability Classification of the Nonlinear Dynamical Systems via Computer Algebra Methods-Reference-Cited by-同舟云学术

On Algorithm of Integrability Classification of the Nonlinear Dynamical Systems via Computer Algebra Methods

Published:2021-06-27 Issue:32 Volume: Page:7-12
ISSN:1816-1545
Container-title:Physico-mathematical modelling and informational technologies
language:
Short-container-title:Fìz.-mat. model. ìnf. tehnol.

Author:

Fil Bohdan¹,Pelekh Yaroslav¹,Vovk Myroslava¹,Beregova Halyna¹,Magerovska Tatiana²,Pukach Pavlo³

Affiliation:

1. Department of Higher Mathematics Lviv Polytechnic National University, 12 Bandera street, Lviv, Ukraine, 79013

2. Department of Computational Mathematics and Programming Lviv Polytechnic National University, 12 Bandera street, Lviv, Ukraine, 79013

3. Department of Artifical Intelligence Systems Lviv Polytechnic National University, 12 Bandera street, Lviv, Ukraine, 79013

Abstract

There is developed an algorithm to classify integrable nonlinear dynamical systems via Wolfram Mathematica. The hierarchy of conservation laws for the nonlinear dynamical system can be cal-culated by this algorithm. There are demonstrated some modifications of nonlinear Korteweg-de Vries equations integrated by inverse scatering method.

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka)

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