LIE SYMMETRY ANALYSIS TO THE WEAKLY COUPLED KAUP-KUPERSHMIDT EQUATION WITH TIME FRACTIONAL ORDER

被引：7

作者：

Wang, Zhenli ^{[1
]}

Zhang, Lihua ^{[2
]}

Li, Chuanzhong ^{[3
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

[2] Dezhou Univ, Sch Math Sci, Dezhou 253000, Shandong, Peoples R China

[3] Ningbo Univ, Sch Math Sci, Ningbo 315211, Zhejiang, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2019年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Lie Symmetry Analysis; Time Fractional Weakly Coupled Kaup-Kupershmidt Equation; Riemann-Liouville Derivative; Erdelyi-Kober Operators; Sub-Equation Method; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; SYMBOLIC COMPUTATION; NUMERICAL-SOLUTIONS; POSITIVE SOLUTIONS; UNIQUENESS; EXISTENCE; SOLITONS; SYSTEMS;

D O I：

10.1142/S0218348X1950052X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to apply the Lie group analysis method to the weakly coupled Kaup-Kupershmidt (KK) equation with time fractional order. We considered the symmetry analysis, explicit solutions to the weakly coupled time fractional KK (TF-KK) equation with Riemann-Liouville (RL) derivative. The weakly coupled TF-KK equation is reduced to a nonlinear ordinary differential equation (ODE) of fractional order. We solve the reduced fractional ODE using the sub-equation method.

引用

页数：10

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