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A symbolic computation approach and its application to the Kadomtsev-Petviashvili equation in two (3+1)-dimensional extensions

التفاصيل البيبلوغرافية
العنوان: A symbolic computation approach and its application to the Kadomtsev-Petviashvili equation in two (3+1)-dimensional extensions
المؤلفون: Weaam Alhejaili, Mohammed. K. Elboree, Abdelraheem M. Aly
المصدر: AIMS Mathematics, Vol 7, Iss 11, Pp 20085-20104 (2022)
بيانات النشر: AIMS Press, 2022.
سنة النشر: 2022
المجموعة: LCC:Mathematics
مصطلحات موضوعية: (3+1)-kp equation, bilinear form, symbolic computation approach, rogue waves, Mathematics, QA1-939
الوصف: This work examines the multi-rogue-wave solutions for the Kadomtsev-Petviashvili (KP) equation in form of two (3+1)-dimensional extensions, which are soliton equations, using a symbolic computation approach. This approach is stated in terms of the special polynomials developed through a Hirota bilinear equation. The first, second, and third-order rogue wave solutions are derived for these equations. The interaction of many rogue waves is illustrated by the multi-rogue waves. The physical explanations and properties of the obtained results are plotted for specific values of the parameters α and β to understand the physics behind the huge (rogue) wave appearance. The figures are represented in three-dimensional, and the contour plots and the density are shown at different values of parameters. The obtained results are significant for showing the dynamic actions of higher-rogue waves in the deep ocean and nonlinear optical fibers.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
96558644
Relation: https://doaj.org/toc/2473-6988
DOI: 10.3934/math.20221099?viewType=HTML
DOI: 10.3934/math.20221099
URL الوصول: https://doaj.org/article/6384d96558644818a295ae5a147ca86a
رقم الأكسشن: edsdoj.6384d96558644818a295ae5a147ca86a
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
96558644
DOI:10.3934/math.20221099?viewType=HTML