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A particular solution of the third-order shortened Lorenz system via integrability of a class of differential equations

Faculty of Computer Sciences, “Goce Delc̆ev” University, Krste Misirkov No. 10-A, Štip, Republic of North Macedonia

and

Faculty of Electrical Engineering and Information Technologies, Rugjer Boshkovikj No.18, P. B. 574, 1000 Skopje, Ss. Cyril and Methodius University, Ruger Boskovik No. 18, Skopje, Republic of North Macedonia

E-mail Address: [email protected]

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https://doi.org/10.1142/S1793557122502424Cited by:0

Abstract

In this paper, from the expanded class of the second-order linear differential equations, a subclass will be obtained for which a new condition for reductability according to Frobenius will be obtained. Explicit formulas of a particular solution for the subclass of the second-order linear differential equations are obtained. The third-order shortened Lorenz system was obtained from the Modified Lorenz system. In this paper, a particular solution of the third-order shortened Lorenz system via the integrability of the subclass of the second-order linear differential equations under certain conditions is obtained. At the end, via graphical visualization in Mathematica, the theory is supported by examples.

Communicated by J. Koppitz

Keywords:

AMSC: 34A05, 34A34, 34A12

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Vol. 15, No. 10

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History

Received 31 October 2021

Accepted 21 April 2022

Published: May 31, 2022

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A particular solution of the third-order shortened Lorenz system via integrability of a class of differential equations

Abstract

References

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