A (3+1)-dimensional integrable Calogero-Bogoyavlenskii-Schiff equation and its inverse operator: lump solutions and multiple soliton solutions

IF 2.1 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
ABDUL-MAJID WAZWAZ, RANIA A. ALHARBEY, S. A. EL-TANTAWY
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引用次数: 0

Abstract

"In this work, we built a (3+1)-dimensional integrable equation. We started by reformulating the main equation of our model by combining the recursion operator of the Calogero-Bogoyavlenskii-Schiff equation with its inverse recursion op- erator. We confirm the complete integrability of our new developed equation by demon- strating that it satisfies the Painlev´e property. We get a variety of lump solutions that are obtained under specific constraints. Furthermore, we used the simplified Hirota’s direct approach to find multiple soliton solutions to the new evolution equation. In ad- dition, other techniques are used to solve the new evolution equation, in order to get some physically relevant solutions."
(3+1)维可积Calogero-Bogoyavlenskii-Schiff方程及其逆算子:块解和多孤子解
“在这项工作中,我们建立了一个(3+1)维可积方程。我们首先通过结合Calogero-Bogoyavlenskii-Schiff方程的递归算子和它的逆递归算子来重新表述我们模型的主方程。通过证明该方程满足painleve性质,证明了该方程的完全可积性。我们得到了在特定约束条件下得到的各种块解。此外,我们使用简化的Hirota的直接方法找到了新进化方程的多孤子解。此外,还采用了其他技术来求解新的演化方程,以便得到一些物理上相关的解。
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 Reports in Physics
Romanian Reports in Physics 物理-物理:综合
CiteScore
4.20
自引率
29.60%
发文量
0
审稿时长
4-8 weeks
期刊介绍: Romanian Reports in Physics is a journal publishing physics contributions in the fields of: 1. Mathematical and General Physics 2. Nuclear Physics. Particle Physics. Astroparticle Physics 3. Atomic and Molecular Physics 4. Plasma Physics 5. Condensed Matter 6. Optics & Quantum Electronics 7. Biophysics & Medical Physics. Environmental Physics 8. Physical Methods and Instrumentation 9. Earth Physics
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