تقرير
Travelling waves for Maxwell's equations in nonlinear and symmetric media
| العنوان: | Travelling waves for Maxwell's equations in nonlinear and symmetric media |
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| المؤلفون: | Mederski, Jarosław, Schino, Jacopo |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | We look for travelling wave fields $$ E(x,y,z,t)= U(x,y) \cos(kz+\omega t)+ \widetilde U(x,y)\sin(kz+\omega t),\quad (x,y,z)\in\mathbb{R}^3,\, t\in\mathbb{R}, $$ satisfying Maxwell's equations in a nonlinear and cylindrically symmetric medium. We obtain a sequence of solutions with diverging energy that is different from that obtained by McLeod, Stuart, and Troy. In addition, we consider a more general nonlinearity, controlled by an \textit{N}-function. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.01433 |
| رقم الأكسشن: | edsarx.2406.01433 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |