دراسة حول إيجاد القيم الذاتية المتقطعة في المعادلات المتكاملة
A Study of Finding Discrete Eigenvalues in Integrable Equations
- الباحث
- دينا عمار صالح الرحو
- المشرف
- امل جاسم محمد
- الجامعة
- جامعة الموصل
- الكلية / القسم
- كلية التربية للعلوم الصرفة / قسم الرياضيات
- الشهادة
- ماجستير
- السنة
- 2023
- لغة الرسالة
- عربي
- الكلمات المفتاحية
- القيم الذاتية ; المعادلات المتكاملة ; الطيف المتقطع ; الفيزياء الرياضية
Abstract
A In this thesis, two models of the discrete nonlinear Manakov system are studied, the first model is called the Nonlocal Discrete Manakov System (NDMS), and the other model is called the New- Nonlocal Discrete Manakov System (NE-NDMS). This study also includes: solving the spectral problem and finding the eigenfunctions and dispersion data. The importance of our study lies in examining the conditions that characterize the soliton. There are two cases of power functions: single and double barriers. If the Lax-operator does not have a spectrum outside or inside the unit circle, there is no soliton-type solution, which can happen in a single barrier (single barriers). On the other hand, two-site double barriers give two separate solutions. It turns out that the soliton is most likely to occur at discrete eigenvalues outside or inside the unit circle. --- page 71 [OCR+] --- University of Mosul College of Education For Pure Science A Study of Finding Discrete Eigenvalues in Integrable Equations Dina Ammar Salih Al-Rahow M.Sc. Thesis Mathematics Supervised by Assist. Prof. Dr. Amal Jasim Mohammed 2023A.D. 1445A.H. [OCR of page] University of Mosul 2 College of Education For Pure Science — A Study of Finding Discrete Eigenvalues in Integrable Equations Dina Ammar Salih Al-Rahow M.Sc. Thesis Mathematics Supervised by Assist. Prof. Dr. Amal Jasim Mohammed 2023A.D. 1445A.H. --- page 72 [OCR+] --- A Study of Finding Discrete Eigenvalues in Integrable Equations A Theses Submitted By Dina Ammar Salih Al-Rahow To The Council of College of Education for Pure Science University of Mosul In Partial Fulfilment of Requirements for The Degree of M.Sc. In Mathematics Supervised by Assist. Prof. Dr. Amal Jasim Mohammed 2023A.D. 1445A.H. [OCR of page] A Study of Finding Discrete Eigenvalues in Integrable Equations A Theses Submitted By Dina Ammar Salih Al-Rahow To The Council of College of Education for Pure Science University of Mosul In Partial Fulfilment of Requirements for The Degree of M.Sc. In Mathematics Supervised by Assist. Prof. Dr. Amal Jasim Mohammed 2023A.D. 1445A.H.
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