On Using Analytical and Numerical Methods for Solving the Stochastic Nonlinear Schrödinger Equation

الموضوعات

علوم بحتة وطبيعية

الملخص

This research examines the one-dimensional stochastic nonlinear Schrödinger equation (SNLSE) and the coupled stochastic nonlinear Schrödinger equation (CSNLSE) with Kerr-law nonlinearity in birefringent fibers with multiplicative white noise using different mathematical methods, both analytical and numerical. The generalized projective Riccati equations (GPREs) scheme and the new Jacobi elliptic function expansion (JEFEs) scheme were used to carry out the analysis. A numerical study using the finite difference scheme (FDS) was performed. In addition, the solutions' solitary (bright-dark) solutions found are employed in the present study as a criterion to evaluate the correctness of the scheme and to compare the accuracy of the obtained solutions.Using symbolic computation tools such as Maple(2023)or MATLAB(R2023a)software. Moreover, through the results of the tables and the graphs, it is noted the effectiveness of the numerical method in obtaining acceptable results. Additionally, given that the agreement between the numerical and exact results holds for a variety of parameter values, this check further supports the validity of this study’s exact solutions. Notably, it can be concluded that the proposed schemes are simple and straightforward for solving the stochastic nonlinear partial differential equations (NLPDEs)

روابط وملفات

التعريف والنوع

رقم الوثيقة

0e2e146e-e63f-4efa-a1ae-14fca5fafcae

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

1088605_1.pdf

بيانات النشر

ترجمة العنوان

استخدام الطرق التحليلية والعددية لحل معادلة شرودنجر غير الخطية العشوائية

ألقاب المؤلفين

[{"name_ar":"خالد علي العرفي","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"عمر علي العيان","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"مروة عبدالسلام سعيد ","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

On Using Analytical and Numerical Methods for Solving the Stochastic Nonlinear Schrödinger Equation

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Stochastic nonlinear Schrödinger equation, Multiplicative white noise, Generalized projective Riccati equations, Birefringent fibers, Soliton solutions.

إشراف وإعداد

الإشراف

خالد علي العرفي, عمر علي العيان

الإعداد

مروة عبدالسلام سعيد

الاقتباسات الببليوغرافية