时间分数型Hirota-Satsuma Korteweg-de Vries系统的Lie对称性和精确解

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2021-09-13 DOI:10.1134/S106192082103002X

H.M. Srivastava, H. Mandal, B. Bira

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引用次数: 2

摘要

在本工作中，我们从Riemann-Liouville分数微积分和erd - kober分数微积分的意义上考虑非线性时间分数型Hirota-Satsuma KdV (Korteweg-de Vries)系统。利用李群分析，我们得到了给定方程保持不变的变换的对称群。我们还构造了给定方程组的对称约简和特群不变量解。最后，为了突出研究的重要性，对本文所描述的解的物理意义进行了调查和图解。

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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Lie Symmetry and Exact Solution of the Time-Fractional Hirota–Satsuma Korteweg–de Vries System

In the present work, we consider the nonlinear time-fractional Hirota-Satsuma KdV (Korteweg-de Vries) system in the sense of the Riemann-Liouville fractional calculus and the Erdélyi-Kober fractional calculus. By appealing to Lie group analysis, we derive the symmetry groups of transformations under which the given equations remain invariant. We also construct the symmetry reductions and particular group invariant solutions for the given system of equations. Finally, in order to highlight the importance of the study, the physical significance of the solution, which is described in this paper, is investigated and illustrated graphically.

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.