Group classification and constructing conservation laws for time-fractional Sawada-Kotera-Parker-Dye equation

被引：0
|
作者：
Kadkhoda, Nematollah [1 ]
Hadjian, Armin [2 ]
机构：
[1] Bozorgmehr Univ Qaenat, Fac Basic Sci, Dept Math, Qaenat, Iran
[2] Univ Bojnord, Fac Basic Sci, Dept Math, POB 1339, Bojnord 94531, Iran
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2021年 / 12卷 / 04期
关键词：
Fractional differential equation; Lie group; Fractional conservation laws; Time-fractional Sawada-Kotera-Parker-Dye equation; Riemann-Liouville derivative; Group-invariant solutions; LIE GROUP;
D O I：
10.1007/s11868-021-00423-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Finding the symmetries and conservation laws of the nonlinear fractional differential equations are topics, which have many applications in various fields of science and engineering. In this manuscript, firstly, by using the Lie symmetry analysis, we obtain the Lie point symmetries of the time-fractional Sawada-Kotera-Parker-Dye equation. After that, by using the infinitesimal generators, we present the corresponding reduced fractional differential equations and fractional conservation laws.
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页数：14
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