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Traveling Wave Solutions for a Combustion Problem
Author(s) -
Tam K. K.
Publication year - 1989
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1989812117
Subject(s) - mathematical analysis , combustion , plane wave , invariant (physics) , simple (philosophy) , traveling wave , plane (geometry) , mathematics , wave speed , wave equation , physics , classical mechanics , mechanics , geometry , mathematical physics , optics , chemistry , philosophy , organic chemistry , epistemology
A simple model for combustion consisting of two parabolic equations is considered. It is shown that plane wave solutions exist. Certain invariant integrals are obtained, from which a nonexistence criterion is derived. The effect of the wave speed on the shape of the wave is deduced.