非线性分数(2+1)维Burgers方程组的精确解和守恒律的研究

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI:10.1016/S0034-4877(23)00056-3

Komal Singla

引用次数: 0

摘要

利用对称方法和幂级数技术确定了分数阶(2+1)维Burgers系统的精确解。此外，还提供了所得解的图形行为，以便更好地解释。利用新的守恒定理，给出了系统的守恒定律。

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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Investigation of exact solutions and conservation laws for nonlinear fractional (2+1)-dimensional Burgers system of equations

The exact solutions of fractional order (2+1)-dimensional Burgers system are determined by using symmetry approach and power series technique. Also, the graphical behaviour of the obtained solutions is provided for better interpretation. The conservation laws for the system are reported by using the new conservation theorem.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.