Open AccessThe investigation of travelling wave solutions to some coupled space-time fractional differential equations in fluids
Author(s) -
Meimei Zhao
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1903/1/012047
Subject(s) - fractional calculus , ansatz , mathematics , nonlinear system , mathematical analysis , traveling wave , type (biology) , korteweg–de vries equation , space (punctuation) , differential equation , derivative (finance) , mathematical physics , physics , quantum mechanics , computer science , ecology , financial economics , economics , biology , operating system
Solutions of nonlinear coupled fractional differential equations (FDEs), namely, the space-time fractional coupled Burgers’ equations, coupled MKdV equations, and coupled KdV equations are obtained by the improved fractional sub-equation method in the sense of Jumarie’s modified Riemann-Liouville derivative. The form of these solutions suggests ansatz suitable for finding solutions of much more general FDEs of coupled type.