Binary mixtures with a time-dependent variational approach: new families of breathers in two-component condensates

الموضوعات

علوم بحتة وطبيعية

الملخص

Our work is organized as follows.In chapter 1, we give a short historic and background about the odinger equation (NLSE) and its solitonic solutions.In chapter 2, we present the Balian-V en eroni time dependent , which is the main tool to derive the Gross-Pitaevskii equation(GPE) and its generalizations in a mean eld framework. Since these highly nonlinear, they require special analytic tools. We present the general formalism of the Darboux transformation method and the Lax . For readers who are not familiar with these methods, we present example.In chapter 3, we focus on two component condensates where we ndsolitonic solutions of the coupled indicating onset of dynamical instability.We pursue our analysis in chapter 4 by nding another type of solitons,namely the Peregrine solitons. The Darboux transformation is used in . The symmetric case with the same seed solutions and the . One also observes the onset of dynamical instability as of the harmonic trap is varied. By a speci c choice of the , we show that these solitons may be stabilized. In chapter 5,we generalize our approach by letting free the spectral parameters. We ndgeneral families of solitonic solutions parametrized by the spectral parameters.We derive not only the Peregrine .In the last part of our work, we gather some conclusions and perspectives.1

روابط وملفات

التعريف والنوع

رقم الوثيقة

01370895-b150-41a7-8ed1-713e12e1a2b5

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل دكتوراة

نوع الملف

pdf text

أسماء الملفات

2269892_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"حليمة بالقرورة","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"حورية شاشوشة سميوط","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"محمد بن عروس","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

English

المصدر والدورية

اسم المصدر

Binary mixtures with a time-dependent variational approach: new families of breathers in two-component condensates

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

dependent

إشراف وإعداد

الإشراف

حورية شاشوشة سميوط, محمد بن عروس

الإعداد

حليمة بالقرورة

الاقتباسات الببليوغرافية