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The zero dispersion limit for the Korteweg-deVries KdV equation

We use the inverse scattering method to determine the weak limit of solutions of the Korteweg-deVries equation as dispersion tends to zero. The limit, valid for all time, is characterized in terms of a quadratic programming problem which can be solved with the aid of function theoretic methods. For...

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Detalles Bibliográficos
Publicado en:Proc Natl Acad Sci U S A
Autores principales: Lax, Peter D., Levermore, C. David
Formato: Artigo
Lenguaje:Inglês
Publicado: National Academy of Sciences 1979
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Acceso en línea:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC383880/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592690/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.76.8.3602
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