Report
Well-posedness for multicomponent Schrodinger-gKdV systems and stability of solitary waves with prescribed mass
| العنوان: | Well-posedness for multicomponent Schrodinger-gKdV systems and stability of solitary waves with prescribed mass |
|---|---|
| المؤلفون: | Bhattarai, Santosh, Corcho, Adan J., Panthee, Mahendra |
| المصدر: | Journal of Dynamics and Differential Equations, 30 (2018), 845 - 881 |
| سنة النشر: | 2015 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35Q53, 35Q55, 35B35, 35B65, 35A15 |
| الوصف: | In this paper we prove the well-posedness issues of the associated initial value problem, the existence of nontrivial solutions with prescribed $L^2$-norm, and the stability of associated solitary waves for two classes of coupled nonlinear dispersive equations. The first problem here describes the nonlinear interaction between two Schr\"{o}dinger type short waves and a generalized Korteweg-de Vries type long wave and the second problem describes the nonlinear interaction of two generalized Korteweg-de Vries type long waves with a common Schr\"{o}dinger type short wave. The results here extend many of the previously obtained results for two-component coupled Schr\"{o}dinger-Korteweg-de Vries systems. Comment: 39 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1509.08188 |
| رقم الانضمام: | edsarx.1509.08188 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |