Lie group analysis and conservation laws for the time-fractional third order KdV-type equation with a small perturbation parameter

Hejazi S. Reza; Lashkarian Elham

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Lie group analysis and conservation laws for the time-fractional third order KdV-type equation with a small perturbation parameter

机译：小型扰动参数时分分析和守恒守法kdv型方程

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摘要

The KdV equation is one of the most famous PDE which has a vast field of applications in fluid dynamics. The scope of our research is the Lie group analysis of time-fractional KdV-type equation including a perturbation term. Thus, the Lie group theory is extended to both cases simultaneously. Geometric vector fields of symmetries and one-dimensional optimal system are found in order to reduce the equation. Finally, approximated conservation laws are given via modified Ibragimov's theorem. (C) 2020 Elsevier B.V. All rights reserved.

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《Journal of geometry and physics》 |2020年第1期|共10页
作者
Hejazi S. Reza; Lashkarian Elham;
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作者单位

Shahrood Univ Technol Fac Math Sci Shahrood Semnan Iran;

Shahrood Univ Technol Fac Math Sci Shahrood Semnan Iran;

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原文格式 PDF
正文语种 eng
中图分类数学物理方法;几何、拓扑;
关键词
Lie point symmetry; Approximate conservation laws; Perturbed differential equations; Fractional differential equations; Optimal system;

机译：LIE点对称;近似保护法;扰动微分方程;分数微分方程;最优系统;

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1. 具有参数激励约简的扰动KdV方程的混沌行为 [J] . 周良强, 陈芳启, 陈予恕南京航空航天大学学报（英文版） . 2007,第004期
2. Lie group analysis and conservation laws for the time-fractional third order KdV-type equation with a small perturbation parameter [J] . Hejazi S. Reza, Lashkarian Elham Journal of geometry and physics . 2020,第1期

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Lie group analysis and conservation laws for the time-fractional third order KdV-type equation with a small perturbation parameter

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