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Exact Treatment of Nonlinear Diffusion Equations with Singular Integral Terms

Authors: Junkichi Satsuma; Masayasu Mimura;

Exact Treatment of Nonlinear Diffusion Equations with Singular Integral Terms

Abstract

It is shown that a class of nonlinear diffusion equations with singular integral terms are exactly linearized. The detailed account of the method of linearization is given in relation to the examples which appear in various fields of natural science. Moreover, the properties of several explicit solutions obtained through the linearization are investigated.

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Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Top 10%
Average
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