New exact and numerical solutions for the KdV system arising in physical applications
المؤلفون المشاركون
al-Matrafi, Muhammad Bakhit
al-Harbi, Abd al-Ghani Raja
Abd al-Rahman, Mahmud Abd al-Aziz al-Bayumi
المصدر
Arab Journal of Basic and Applied Sciences
العدد
المجلد 28، العدد 1 (31 ديسمبر/كانون الأول 2021)، ص ص. 113-121، 9ص.
الناشر
تاريخ النشر
2021-12-31
دولة النشر
البحرين
عدد الصفحات
9
التخصصات الرئيسية
الملخص EN
The Kortweg–de Vries (KdV) equation is more appropriate to simulate some natural phenomena and gives more accurate results for some physical systems such as the movement of water waves.
In this work, novel analytical traveling wave solutions for a nonlinear KdV system are explored using the sech method.
The exact solutions are presented in the form of hyperbolic functions.
These solutions show the propagation of water waves on the surface.
We also implement the numerical adaptive moving technique (MMPDEs) to construct the relevant system’s numerical solutions.
A detailed comparison between the numerical and analytical solutions is also presented to confirm the accuracy of the numerical technique.
We present some new 2D and 3D figures to illustrate the behaviour of the exact and numerical solutions.
The obtained numerical solutions verify the accuracy of the considered methods qualitatively and quantitatively.
The stability of the obtained solutions is investigated using the Hamiltonian system.
The achieved results can be applied for some new observations in the ocean, coastal water, macroscopic phenomena, and processes.
The proposed techniques are potent tools to solve many other non-linear partial differential equations in applied mathematics.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
al-Matrafi, Muhammad Bakhit& al-Harbi, Abd al-Ghani Raja& Abd al-Rahman, Mahmud Abd al-Aziz al-Bayumi. 2021. New exact and numerical solutions for the KdV system arising in physical applications. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.113-121.
https://search.emarefa.net/detail/BIM-1340616
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
al-Matrafi, Muhammad Bakhit…[et al.]. New exact and numerical solutions for the KdV system arising in physical applications. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.113-121.
https://search.emarefa.net/detail/BIM-1340616
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
al-Matrafi, Muhammad Bakhit& al-Harbi, Abd al-Ghani Raja& Abd al-Rahman, Mahmud Abd al-Aziz al-Bayumi. New exact and numerical solutions for the KdV system arising in physical applications. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.113-121.
https://search.emarefa.net/detail/BIM-1340616
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references : p. 119-121
رقم السجل
BIM-1340616
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر