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Symmetry group analysis and similarity solutions for the (2+1)‐dimensional coupled Burger's system
Author(s) -
ElSayed M. F.,
Moatimid G. M.,
Moussa M. H. M.,
ElShiekh R. M.,
ElSatar A. A.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2870
Subject(s) - mathematics , partial differential equation , similarity (geometry) , symmetry (geometry) , infinitesimal , first order partial differential equation , nonlinear system , symmetry group , differential equation , mathematical analysis , reduction (mathematics) , similarity solution , group (periodic table) , hyperbolic function , pure mathematics , geometry , chemistry , physics , organic chemistry , boundary layer , quantum mechanics , artificial intelligence , computer science , image (mathematics) , thermodynamics
Symmetry group analysis and similarity reduction of nonlinear system of coupled Burger equations in the form of nonlinear partial differential equation are analyzed via symmetry method. The symmetry method has led to similarity reductions of this equation to solvable form to third‐order partial differential equation. The infinitesimal, similarity variables, dependent variables, and reduction have been tabulated. The search for solutions of these systems by using the improved tanh method has yielded certain exact solutions expressed by rational functions. Some figures are given to show the properties of the solutions. Copyright © 2013 John Wiley & Sons, Ltd.