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A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations
Author(s) -
Fanwei Meng,
Qinghua Feng
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/481729
Subject(s) - fractional calculus , mathematics , korteweg–de vries equation , mathematical analysis , partial differential equation , derivative (finance) , space (punctuation) , physics , nonlinear system , computer science , operating system , quantum mechanics , financial economics , economics
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

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