2024/07/29 by O. Cornejo-Pérez, Cornejo-Pérez, O., Paz Albares +3 · 1 citation
Computer Science · Mathematics · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Mathematics and Applications #Matrix Theory and Algorithms
paper · doi:10.48550/arxiv.2407.19788
openalex publication_date 2024/07/29 · openalex created_date 2024/08/01 · openalex updated_date 2026/07/28
In this work, exact solutions of the nonlinear cubic-quintic Duffing-van der Pol oscillator with variable coefficients are obtained. Two approaches have been applied, one based on the factorization method combined with the Field Method, and a second one relying on Painlevé analysis. Both procedures allow us to find the same exact solutions to the problem. The Lagrangian formalism for this system is also derived. Moreover, some examples for particular choices of the time-dependent coefficients, and their corresponding general and particular exact solutions are presented.