The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics

Shimin Guo; Liquan Mei; Ying Li; Youfa Sun

doi:10.1016/j.physleta.2011.10.056

The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics

Shimin Guo
, Liquan Mei
, Ying Li
, Youfa Sun

School of Mathematics and Statistics

Xi'an Jiaotong University
Guangdong University of Technology

Research output: Contribution to journal › Article › peer-review

263 Scopus citations

Abstract

By introducing a new general ansätz, the improved fractional sub-equation method is proposed to construct analytical solutions of nonlinear evolution equations involving Jumarie's modified Riemann-Liouville derivative. By means of this method, the space-time fractional Whitham-Broer-Kaup and generalized Hirota-Satsuma coupled KdV equations are successfully solved. The obtained results show that the proposed method is quite effective, promising and convenient for solving nonlinear fractional differential equations. Crown

Original language	English
Pages (from-to)	407-411
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
Issue number	4
DOIs	https://doi.org/10.1016/j.physleta.2011.10.056
State	Published - 9 Jan 2012

Keywords

Fractional differential equation
Generalized Hirota-Satsuma coupled KdV equations
Improved fractional sub-equation method
Modified Riemann-Liouville derivative
Whitham-Broer-Kaup equations

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10.1016/j.physleta.2011.10.056

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title = "The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics",

abstract = "By introducing a new general ans{\"a}tz, the improved fractional sub-equation method is proposed to construct analytical solutions of nonlinear evolution equations involving Jumarie's modified Riemann-Liouville derivative. By means of this method, the space-time fractional Whitham-Broer-Kaup and generalized Hirota-Satsuma coupled KdV equations are successfully solved. The obtained results show that the proposed method is quite effective, promising and convenient for solving nonlinear fractional differential equations. Crown",

keywords = "Fractional differential equation, Generalized Hirota-Satsuma coupled KdV equations, Improved fractional sub-equation method, Modified Riemann-Liouville derivative, Whitham-Broer-Kaup equations",

author = "Shimin Guo and Liquan Mei and Ying Li and Youfa Sun",

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doi = "10.1016/j.physleta.2011.10.056",

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T1 - The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics

AU - Guo, Shimin

AU - Mei, Liquan

AU - Li, Ying

AU - Sun, Youfa

PY - 2012/1/9

Y1 - 2012/1/9

N2 - By introducing a new general ansätz, the improved fractional sub-equation method is proposed to construct analytical solutions of nonlinear evolution equations involving Jumarie's modified Riemann-Liouville derivative. By means of this method, the space-time fractional Whitham-Broer-Kaup and generalized Hirota-Satsuma coupled KdV equations are successfully solved. The obtained results show that the proposed method is quite effective, promising and convenient for solving nonlinear fractional differential equations. Crown

AB - By introducing a new general ansätz, the improved fractional sub-equation method is proposed to construct analytical solutions of nonlinear evolution equations involving Jumarie's modified Riemann-Liouville derivative. By means of this method, the space-time fractional Whitham-Broer-Kaup and generalized Hirota-Satsuma coupled KdV equations are successfully solved. The obtained results show that the proposed method is quite effective, promising and convenient for solving nonlinear fractional differential equations. Crown

KW - Fractional differential equation

KW - Generalized Hirota-Satsuma coupled KdV equations

KW - Improved fractional sub-equation method

KW - Modified Riemann-Liouville derivative

KW - Whitham-Broer-Kaup equations

UR - https://www.scopus.com/pages/publications/84855193408

U2 - 10.1016/j.physleta.2011.10.056

DO - 10.1016/j.physleta.2011.10.056

M3 - 文章

AN - SCOPUS:84855193408

SN - 0375-9601

VL - 376

SP - 407

EP - 411

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics

Abstract

Keywords

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