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Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations
Author(s) -
Khudija Bibi,
Khalil Ahmad
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/6658081
Subject(s) - invariant (physics) , symmetry (geometry) , transformation group , symmetry group , transformation (genetics) , nonlinear system , mathematics , group (periodic table) , lie group , group theory , pure mathematics , mathematical physics , physics , geometry , quantum mechanics , biochemistry , chemistry , gene
In this article, Lie and discrete symmetry transformation groups of linear and nonlinear Newell-Whitehead-Segel (NWS) equations are obtained. By using these symmetry transformation groups, several group invariant solutions of considered NWS equations have been constructed. Furthermore, some more group invariant solutions are generated by using discrete symmetry transformation group. Graphical representations of some obtained solutions are also presented.

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