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A Class of Solutions of Non‐Linear Evolution Equations with Diffusion
Author(s) -
Enders P.
Publication year - 1987
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19874990707
Subject(s) - diffusion , term (time) , quadratic equation , class (philosophy) , mathematics , linearity , yield (engineering) , diffusion equation , evolution equation , statistical physics , order (exchange) , physics , mathematical analysis , computer science , thermodynamics , quantum mechanics , geometry , economy , finance , artificial intelligence , economics , service (business)
The technique of generating functions developed by W ILHELMSSON [1] for the diffusion equation with quadratic recombination term is improved to yield overall exact (special) solutions and discussed with respect to higher‐order non‐linearity. Some applications of our results are mentioned.