Interactions of traveling fronts: An exact solution of a nonlinear diffusion equation

An exact solution which describes the coalescence of two traveling fronts of the same sense into a front connecting two stable constant states is found in terms of the direct method for a simple nonlinear diffusion equation. Head-on collisions of two fronts of opposite sense are also examined numeri...

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Bibliographic Details
Published inPhysics letters. A Vol. 97; no. 8; pp. 311 - 314
Main Authors Kawahara, Takuji, Tanaka, Mitsuhiro
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.09.1983
Elsevier Science
Subjects
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
Non linear equation
Evolution equation
Diffusion equation
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Summary:An exact solution which describes the coalescence of two traveling fronts of the same sense into a front connecting two stable constant states is found in terms of the direct method for a simple nonlinear diffusion equation. Head-on collisions of two fronts of opposite sense are also examined numerically.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(83)90648-5