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Lie symmetries of a system arising in plasma physics
Author(s) -
Charalambous K.,
Sophocleous C.
Publication year - 2017
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.4665
Subject(s) - homogeneous space , lie group , mathematics , ordinary differential equation , plasma , similarity (geometry) , differential equation , mathematical physics , pure mathematics , algebra over a field , mathematical analysis , physics , quantum mechanics , computer science , artificial intelligence , geometry , image (mathematics)
Lie group classification for a diffusion‐type system that has applications in plasma physics is derived. The classification depends on the values of 5 parameters that appear in the system. Similarity reductions are presented. Certain initial value problems are reduced to problems with the governing equations being ordinary differential equations. Examples of potential symmetries are also presented.