SYMMETRY ANALYSIS, EXACT SOLUTIONS AND CONSERVATION LAWS OF THE NONLINEAR TIME-FRACTIONAL SHARMA-TASSO-OLEVER EQUATION

被引：0

作者：

Yu, Jicheng ^{[1
]}

Feng, Yuqiang ^{[1
,2
]}

机构：

[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan, Peoples R China

[2] Hubei Prov Key Lab Syst Sci Met Proc, Wuhan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2024年 / 23卷 / 04期

关键词：

Lie symmetry analysis; fractional partial differential equation; Sharma-Tasso--Olever equation; conservation laws; DIFFERENTIAL-EQUATIONS;

D O I：

10.17512/jamcm.2024.4.11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Lie symmetry analysis method (LSAM) is applied to obtain all Lie symmetries of the nonlinear time-fractional Sharma-Tasso-Olever equation. The studied fractional partial differential equation (FPDEs) is reduced to some fractional ordinary differential equations (FODEs), of which some exact solutions including the convergent power series solution are obtained. The dynamic behaviors of these exact solutions are presented graphically. In addition, the conservation laws for the obtained symmetries are constructed by Ibragimov's theory.

引用

页码：120 / 132

页数：13

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