تقرير
Exact solutions for the fractional nonlinear Boussinesq equation
| العنوان: | Exact solutions for the fractional nonlinear Boussinesq equation |
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| المؤلفون: | Ceretani, A., Falcini, F., Garra, R. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Nonlinear Sciences |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | We investigate the existence of exact solutions in closed form to a fractional version of the nonlinear Boussinesq equation for groundwater flow through an unconfined aquifer. We show this fractional equation appears naturally when the classical nonlinear Darcy's law is replaced by a space-fractional one. After a physical discussion on the fractional model, we give several exact solutions in closed form for special choices of initial and boundary data. We provide solutions for steady and unsteady cases, by considering both classical and fractional derivatives in time. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2303.04775 |
| رقم الأكسشن: | edsarx.2303.04775 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |