The Use of Kruskal-Newton Diagrams for Differential Equations Page: 3 of 32
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The use of Kruskal-Newton diagrams for differential equations
T. Fishaleck' and R. B. White2
lnstitut fur Theoretische Physik, Otto-von-Guericke- Universitit Magdeburg,
Postfach 4120, D-39016 Magdeburg, Germany
2Plasma Physics Laboratory, Princeton University,
P. 0.Box 451, Princeton, New Jersey 08543
(Dated: February 7, 2008)
The method of Kruskal-Newton diagrams for the solution of differential equations with boundary
layers is shown to provide rapid intuitive understanding of layer scaling and can result in the
conceptual simplification of some problems. The method is illustrated using equations arising in
the theory of pattern formation and in plasma physics.
PACS numbers: 52.20.Dq,52.65.Cc
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Fishaleck, T. & White, R. B. The Use of Kruskal-Newton Diagrams for Differential Equations, report, February 19, 2008; Princeton, New Jersey. (https://digital.library.unt.edu/ark:/67531/metadc929009/m1/3/: accessed April 21, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.