Lie Symmetry Analysis and Conservation Laws of a Generalized Time Fractional Foam Drainage Equation

被引：0

作者：

Wang, Li ^{[1
]}

Tian, Shou-Fu ^{[1
]}

Zhao, Zhen-Tao ^{[2
]}

Song, Xiao-Qiu ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China

[2] China Univ Min & Technol, Sun Yueqi Honors Coll, Xuzhou 221116, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2016年 / 66卷 / 01期

基金：

中国博士后科学基金;

关键词：

a generalized time fractional nonlinear foam drainage equation; Riemann-Liouville derivative; Lie point symmetry; symmetry reduction; conservation law; PERIODIC-WAVE SOLUTIONS; RATIONAL CHARACTERISTICS; INVARIANT ANALYSIS; NOETHERS THEOREM; BURGERS; SYSTEMS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a generalized time fractional nonlinear foam drainage equation is investigated by means of the Lie group analysis method. Based on the Riemann Liouville derivative, the Lie point symmetries and symmetry reductions of the equation are derived, respectively. Furthermore, conservation laws with two kinds of independent variables of the equation are performed by making use of the nonlinear self-adjointness method.

引用

页码：35 / 40

页数：6

共 44 条

[1]

[Anonymous], 2006, THEORY APPL FRACTION

[2]

[Anonymous], 2020, Introduction to Partial Differential Equations

[3]

[Anonymous], 1974, The fractional calculus theory and applications of differentiation and integration to arbitrary order, DOI DOI 10.1016/S0076-5392(09)60219-8

[4]

Baleanu D, 2012, Fractional Calculus: Models and Numerical Methods

[5]

Bluman GW., 2002, Symmetry and integration methods for differential equations

[6] A continuous/discrete fractional Noether's theorem [J].

Bourdin, Loic ;

Cresson, Jacky ;

Greff, Isabelle .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (04) :878-887

[7]

Chen LL, 1998, COMMUN THEOR PHYS, V29, P313

[8] Higher dimensional integrable models with Painleve property obtained from (1+1)-dimensional Schwarz KdV equation [J].

Chen, LL ;

Lou, SY .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1998, 53 (08) :689-692

[9] Lie Symmetry Group of the Nonisospectral Kadomtsev-Petviashvili Equation [J].

Chen, Yong ;

Hu, Xiaorui .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (1-2) :8-14

[10] Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives [J].

Fadravi, Hadi Hosseini ;

Nik, Hassan Saberi ;

Buzhabadi, Reza .

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011

← 1 2 3 4 5 →