Lie symmetries and conservation laws for the time fractional Derrida-Lebowitz-Speer-Spohn equation

被引：53

作者：

Rui, Wenjuan ^{[1
]}

Zhang, Xiangzhi ^{[1
]}

机构：

[1] China Univ Min & Technol, Coll Sci, Xuzhou 221116, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 34卷

关键词：

Time fractional; Derrida-Lebowitz-Speer-Spohn equation; Lie symmetry; Conservation law; SIMILARITY REDUCTIONS; VARIATIONAL-PROBLEMS; GENERALIZED BURGERS; INVARIANT ANALYSIS; NOETHERS THEOREM; FORMULATION;

D O I：

10.1016/j.cnsns.2015.10.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the invariance properties of the time fractional Derrida-Lebowitz-Speer-Spohn (FDLSS) equation with Riemann-Liouville derivative. By using the Lie group analysis method of fractional differential equations, we derive Lie symmetries for the FDLSS equation. In a particular case of scaling transformations, we transform the FDLSS equation into a nonlinear ordinary fractional differential equation. Conservation laws for this equation are obtained with the aid of the new conservation theorem and the fractional generalization of the Noether operators. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：38 / 44

页数：7

共 50 条

[31] Conservation Laws and Symmetries of the Levi Equation
Zhang Jian-Bing
Ji Jie
Chen Deng-Yuan
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (06) : 1261 - 1264
[32] Conservation Laws and Symmetries of the Levi Equation
ZHANG Jian-Bing~(1
CommunicationsinTheoreticalPhysics, 2008, 50 (12) : 1261 - 1264
[33] Analysis of Lie symmetries with conservation laws and solutions for the generalized (3+1)-dimensional time fractional Camassa-Holm-Kadomtsev-Petviashvili equation
Lu, Changna
Xie, Luoyan
Yang, Hongwei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (12) : 3154 - 3171
[34] Lie symmetry analysis, conservation laws and similarity reductions of Newell-Whitehead-Segel equation of fractional order
Saberi, Elaheh
Hejazi, S. Reza
Motamednezhad, Ahmad
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 135 : 116 - 128
[35] Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorption Equation
Hashemi, Mir Sajjad
Balmeh, Zahra
Baleanu, Dumitru
MATHEMATICAL METHODS IN ENGINEERING: THEORETICAL ASPECTS, 2019, 23 : 97 - 109
[36] Symmetries, conservation laws and exact solutions of the time-fractional diffusivity equation via Riemann-Liouville and Caputo derivatives
Hejazi, S. Reza
Rashidi, Saeede
WAVES IN RANDOM AND COMPLEX MEDIA, 2019, Taylor and Francis Ltd. (31) : 690 - 711
[37] Lie Symmetry Analysis and Conservation Laws of Fractional Benjamin-Ono Equation
Liu, Hui
Yun, Yinshan
SYMMETRY-BASEL, 2024, 16 (04):
[38] Time-fractional inhomogeneous nonlinear diffusion equation: Symmetries, conservation laws, invariant subspaces, and exact solutions
Feng, Wei
Zhao, Songlin
MODERN PHYSICS LETTERS B, 2018, 32 (32):
[39] Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation
Baleanu, Dumitru
Inc, Mustafa
Yusuf, Abdullahi
Aliyu, Aliyu Isa
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 59 : 222 - 234
[40] DISPERSION AND FRACTIONAL LIE GROUP ANALYSIS OF TIME FRACTIONAL EQUATION FROM BURGERS HIERARCHY
Kaur, Bikramjeet
Gupta, R. K.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (01): : 1 - 22

← 1 2 3 4 5 →