A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations

A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations

A new fractional subequation method is proposed for finding exact solutions for fractional partial differential equations (FPDEs). The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. As applications, abundant exact solutions including solitary wave solutions a...

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Main Authors: Fanwei Meng, Qinghua Feng
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/481729
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spelling doaj-4a954d1efdc44576a881267c51184c5f2020-11-24T22:32:39ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/481729481729A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential EquationsFanwei Meng0Qinghua Feng1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaA new fractional subequation method is proposed for finding exact solutions for fractional partial differential equations (FPDEs). The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. As applications, abundant exact solutions including solitary wave solutions as well as periodic wave solutions for the space-time fractional generalized Hirota-Satsuma coupled KdV equations are obtained by using this method.http://dx.doi.org/10.1155/2013/481729
collection DOAJ
language English
format Article
sources DOAJ
author Fanwei Meng
Qinghua Feng
spellingShingle Fanwei Meng
Qinghua Feng
A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations
Journal of Applied Mathematics
author_facet Fanwei Meng
Qinghua Feng
author_sort Fanwei Meng
title A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations
title_short A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations
title_full A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations
title_fullStr A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations
title_full_unstemmed A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations
title_sort new fractional subequation method and its applications for space-time fractional partial differential equations
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description A new fractional subequation method is proposed for finding exact solutions for fractional partial differential equations (FPDEs). The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. As applications, abundant exact solutions including solitary wave solutions as well as periodic wave solutions for the space-time fractional generalized Hirota-Satsuma coupled KdV equations are obtained by using this method.
url http://dx.doi.org/10.1155/2013/481729
work_keys_str_mv AT fanweimeng anewfractionalsubequationmethodanditsapplicationsforspacetimefractionalpartialdifferentialequations
AT qinghuafeng anewfractionalsubequationmethodanditsapplicationsforspacetimefractionalpartialdifferentialequations
AT fanweimeng newfractionalsubequationmethodanditsapplicationsforspacetimefractionalpartialdifferentialequations
AT qinghuafeng newfractionalsubequationmethodanditsapplicationsforspacetimefractionalpartialdifferentialequations
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