The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics
المؤلفون المشاركون
Salas, Alvaro H.
El-Tantawy, S. A.
Castillo H., Jairo E.
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-10-01
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
In this paper, the dissipative and nondissipative modulated pulses such as rogue waves (RWs) and breathers (Kuznetsov-Ma breathers and Akhmediev breathers) that can exist and propagate in several fields of sciences, for example, plasma physics, have been analyzed numerically.
For this purpose, the fluid dusty plasma equations with taking the kinematic dust viscosity into account are reduced to the linear damped nonlinear Schrödinger equation using a reductive perturbation technique.
It is known that this equation is not integrable and, accordingly, does not have analytical solution.
Thus, for modelling both dissipative RWs and breathers, the improved finite difference method is introduced for this purpose.
It is found that FDM is a good numerical technique for small time interval but for large time interval it becomes sometimes unacceptable.
Therefore, to describe these waves accurately, the new improved numerical method is considered, which is called the hybrid finite difference method and moving boundary method (FDM-MBM).
This last and updated method gives an accurate and excellent description to many physical results, as it was applied to the dust plasma results and the results were good.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Salas, Alvaro H.& El-Tantawy, S. A.& Castillo H., Jairo E.. 2020. The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1197385
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Salas, Alvaro H.…[et al.]. The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1197385
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Salas, Alvaro H.& El-Tantawy, S. A.& Castillo H., Jairo E.. The Hybrid Finite Difference and Moving Boundary Methods for Solving a Linear Damped Nonlinear Schrödinger Equation to Model Rogue Waves and Breathers in Plasma Physics. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1197385
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1197385
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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