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

被引：4

作者：

Hejazi, S. Reza ^{[1
]}

Lashkarian, Elham ^{[1
]}

机构：

[1] Shahrood Univ Technol, Fac Math Sci, Shahrood, Semnan, Iran

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 157卷

关键词：

Lie point symmetry; Approximate conservation laws; Perturbed differential equations; Fractional differential equations; Optimal system; SYMMETRY ANALYSIS; NUMERICAL APPROXIMATIONS; CONSTRUCTION; LAGRANGIANS; BURGERS; PDES;

D O I：

10.1016/j.geomphys.2020.103830

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：10

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