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Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods
المؤلفون المشاركون
Sirisubtawee, Sekson
Kaewta, Supaporn
Khansai, Nattawut
المصدر
International Journal of Mathematics and Mathematical Sciences
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-19، 19ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-04-27
دولة النشر
مصر
عدد الصفحات
19
التخصصات الرئيسية
الملخص EN
In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
The equation is shortly called the Jaulent–Miodek equation, which was first derived by Jaulent and Miodek and associated with energy-dependent Schrödinger potentials (Jaulent and Miodek, 1976; Jaulent, 1976).
The equation is converted into a fourth order partial differential equation using a transformation.
After applying a traveling wave transformation to the resulting partial differential equation, we obtain an ordinary differential equation which is the main equation to which the both schemes are applied.
As a first step, the two methods give us distinguish systems of algebraic equations.
The first method provides exact traveling wave solutions including the logarithmic function solutions of trigonometric functions, hyperbolic functions, and polynomial functions.
The second approach provides the Jacobi elliptic function solutions depending upon their modulus values.
Some of the obtained solutions are graphically characterized by the distinct physical structures such as singular periodic traveling wave solutions and peakons.
A comparison between our results and the ones obtained from the previous literature is given.
Obtaining the exact solutions of the equation shows the simplicity, efficiency, and reliability of the used methods, which can be applied to other nonlinear partial differential equations taking place in mathematical physics.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Kaewta, Supaporn& Sirisubtawee, Sekson& Khansai, Nattawut. 2020. Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1172632
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Kaewta, Supaporn…[et al.]. Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1172632
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Kaewta, Supaporn& Sirisubtawee, Sekson& Khansai, Nattawut. Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1172632
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1172632
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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