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Whitham equations and phase shifts for the Korteweg–de Vries equation

The semi-classical Korteweg–de Vries equation for step-like data is considered with a small parameter in front of the highest derivative. Using perturbation analysis, Whitham theory is constructed to the higher order. This allows the order one phase and the complete leading-order solution to be obta...

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Foilsithe in:Proc Math Phys Eng Sci
Main Authors: Ablowitz, Mark J., Cole, Justin T., Rumanov, Igor
Formáid: Artigo
Teanga:Inglês
Foilsithe: The Royal Society Publishing 2020
Ábhair:
Rochtain Ar Líne:https://ncbi.nlm.nih.gov/pmc/articles/PMC7482208/
https://ncbi.nlm.nih.gov/pubmed/32922155
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2020.0300
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