Shallow Water Wave Models with and without Singular Kernel: Existence, Uniqueness, and Similarities
المؤلفون المشاركون
Kumar, Sunil
Doungmo Goufo, Emile Franc
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-9، 9ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-02-06
دولة النشر
مصر
عدد الصفحات
9
التخصصات الرئيسية
الملخص EN
After the recent introduction of the Caputo-Fabrizio derivative by authors of the same names, the question was raised about an eventual comparison with the old version, namely, the Caputo derivative.
Unlike Caputo derivative, the newly introduced Caputo-Fabrizio derivative has no singular kernel and the concern was about the real impact of this nonsingularity on real life nonlinear phenomena like those found in shallow water waves.
In this paper, a nonlinear Sawada-Kotera equation, suitable in describing the behavior of shallow water waves, is comprehensively analyzed with both types of derivative.
In the investigations, various fixed-point theories are exploited together with the concept of Piccard K-stability.
We are then able to obtain the existence and uniqueness results for the models with both versions of derivatives.
We conclude the analysis by performing some numerical approximations with both derivatives and graphical simulations being presented for some values of the derivative order γ.
Similar behaviors are pointed out and they concur with the expected multisoliton solutions well known for the Sawada-Kotera equation.
This great observation means either of both derivatives is suitable to describe the motion of shallow water waves.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Doungmo Goufo, Emile Franc& Kumar, Sunil. 2017. Shallow Water Wave Models with and without Singular Kernel: Existence, Uniqueness, and Similarities. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1190447
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Doungmo Goufo, Emile Franc& Kumar, Sunil. Shallow Water Wave Models with and without Singular Kernel: Existence, Uniqueness, and Similarities. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1190447
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Doungmo Goufo, Emile Franc& Kumar, Sunil. Shallow Water Wave Models with and without Singular Kernel: Existence, Uniqueness, and Similarities. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1190447
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1190447
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