تقرير
Periodically modulated solitary waves of the CH-KP-I equation
| العنوان: | Periodically modulated solitary waves of the CH-KP-I equation |
|---|---|
| المؤلفون: | Nilsson, Dag, Seth, Douglas Svensson, Wang, Yuexun |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 76B15, 76B45, 35Q35 |
| الوصف: | We consider the CH-KP-I equation. For this equation we prove the existence of steady solutions, which are solitary in one horizontal direction and periodic in the other. We show that such waves bifurcate from the line solitary wave solutions, i.e. solitary wave solutions to the Camassa-Holm equation, in a dimension-breaking bifurcation. This is achieved through reformulating the problem as a dynamical system for a perturbation of the line solitary wave solutions, where the periodic direction takes the role of time, then applying the Lyapunov-Iooss theorem. Comment: 11 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.02423 |
| رقم الأكسشن: | edsarx.2406.02423 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |