Accelerating solutions of the Korteweg-de Vries equation

Maricarmen A. Winkler; Felipe A. Asenjo

doi:10.1088/1751-8121/ad9127

Accelerating solutions of the Korteweg-de Vries equation

Maricarmen A. Winkler
, Felipe A. Asenjo

Facultad de Ingeniería y Ciencias

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

The Korteweg-de Vries equation is a fundamental nonlinear equation that describes solitons with constant velocity. On the contrary, here we show that this equation also presents accelerated wavepacket solutions. This behavior is achieved by putting the KdV equation in terms of the Painlevé I equation. The accelerated waveform solutions are explored numerically showing their accelerated behavior explicitly.

Idioma original	Inglés
Número de artículo	495701
Publicación	Journal of Physics A: Mathematical and Theoretical
Volumen	57
N.º	49
DOI	https://doi.org/10.1088/1751-8121/ad9127
Estado	Publicada - 6 dic 2024

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title = "Accelerating solutions of the Korteweg-de Vries equation",

abstract = "The Korteweg-de Vries equation is a fundamental nonlinear equation that describes solitons with constant velocity. On the contrary, here we show that this equation also presents accelerated wavepacket solutions. This behavior is achieved by putting the KdV equation in terms of the Painlev{\'e} I equation. The accelerated waveform solutions are explored numerically showing their accelerated behavior explicitly.",

keywords = "korteweg-de vries equation, nonlinear waves, nonliner physics",

author = "Winkler, \{Maricarmen A.\} and Asenjo, \{Felipe A.\}",

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AB - The Korteweg-de Vries equation is a fundamental nonlinear equation that describes solitons with constant velocity. On the contrary, here we show that this equation also presents accelerated wavepacket solutions. This behavior is achieved by putting the KdV equation in terms of the Painlevé I equation. The accelerated waveform solutions are explored numerically showing their accelerated behavior explicitly.

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KW - nonlinear waves

KW - nonliner physics

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Accelerating solutions of the Korteweg-de Vries equation

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