Derivation of Lump Solutions to Integrable (2+1)- and (3+1)-Dimensional Extended KdV and KP Equations

IF 1.2 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Romanian Journal of Physics Pub Date : 2023-09-15 DOI:10.59277/romjphys.2023.68.113

WEAAM ALHEJAILI, ABDUL-MAJID WAZWAZ, S. A. EL-TANTAWY

引用次数: 0

Abstract

"In this study, we investigate the lump solutions for both integrable (2+1)- and (3+1)-dimensional extended KdV and KP equations using symbolic computation with Maple and the Hirota bilinear (HB) form. For each integrable model, we create positive quadratic function solutions to the HB equation. Graphs of the derived lump solutions are displayed with the proper parameter values. "

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可积(2+1)-和(3+1)维扩展KdV和KP方程整体解的推导

在本研究中，我们研究了可积(2+1)-和(3+1)维扩展KdV和KP方程的块解，使用Maple和Hirota双线性(HB)形式的符号计算。对于每个可积模型，我们创建HB方程的正二次函数解。导出的块状解的图形显示与适当的参数值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Romanian Journal of Physics 物理-物理：综合

CiteScore

2.30

自引率

26.70%

发文量

审稿时长

4-8 weeks

期刊介绍： Romanian Journal of Physics was first published in 1992 as a continuation of the former Revue Roumaine de Physique (ISSN: 0035-4090), a journal publishing physics and engineering scientific papers established 1956 with deep roots in the early history of the modern Romanian physics. Romanian Journal of Physics is a journal of the Romanian Academy published by Editura Academiei Romane (eA). The journal has an international character intended for the publication of original physics contributions from various sub-fields including the following: -Theoretical Physics & Applied Mathematics -Nuclear Physics -Solid State Physics & Materials Science -Statistical Physics & Quantum Mechanics -Optics -Spectroscopy -Plasma & Laser Physics -(High Energy) Elementary Particles Physics -Atomic and Molecular Physics -Astrophysics -Atmosphere (Environmental) & Earth Science -Environmental Protection