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A new approach to integrable evolution equations on the circle

We propose a new approach for the solution of initial value problems for integrable evolution equations in the periodic setting based on the unified transform. Using the nonlinear Schrödinger equation as a model example, we show that the solution of the initial value problem on the circle can be exp...

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Detalles Bibliográficos
Autores principales: Fokas, A. S., Lenells, J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7897634/
https://www.ncbi.nlm.nih.gov/pubmed/33633492
http://dx.doi.org/10.1098/rspa.2020.0605