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https://open.uns.ac.rs/handle/123456789/11126
Nаziv: | Analytic solution of the system of two coupled differential equations with the fifth-order non-linearity | Аutоri: | Cvetićanin, Livija | Dаtum izdаvаnjа: | 1-јан-2003 | Čаsоpis: | Physica A: Statistical Mechanics and its Applications | Sažetak: | In this paper an approximate method for solving a system of two coupled second-order non-linear differential equation with strong and weak non-linearity is developed. The strong non-linearities are of the third and of the fifth order. The suggested new method is partially based on the elliptic-Krylov-Bogolubov method and on the power series method developed for solving the weak non-linear differential equations. The one-frequency solution is considered for the case of certain relations between the equation parameters p and m, and initial conditions. As a special case the oscillatory motion of the physical system described with a fourth-order strong non-linear differential equation is considered. A wide analysis of the corresponding equation is done. The results of the suggested analytic procedure are compared with numerical ones. They show a good agreement. © 2002 Elsevier Science B.V. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/11126 | ISSN: | 3784371 | DOI: | 10.1016/S0378-4371(02)01323-7 |
Nаlаzi sе u kоlеkciјаmа: | FTN Publikacije/Publications |
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