تقرير
Solutions of an extended Duffing-van der Pol equation with variable coefficients
| العنوان: | Solutions of an extended Duffing-van der Pol equation with variable coefficients |
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| المؤلفون: | Cornejo-Pérez, O., Albares, P., Negro, J. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics |
| الوصف: | 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 Painlev\'e 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. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.19788 |
| رقم الأكسشن: | edsarx.2407.19788 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |