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

Research output: Contribution to journal › Article › peer-review

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 Painlevé I equation. The accelerated waveform solutions are explored numerically showing their accelerated behavior explicitly.

Original language	English
Article number	495701
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	57
Issue number	49
DOIs	https://doi.org/10.1088/1751-8121/ad9127
State	Published - 6 Dec 2024
Externally published	Yes

Keywords

korteweg-de vries equation
nonlinear waves
nonliner physics

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10.1088/1751-8121/ad9127

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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.",

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Accelerating solutions of the Korteweg-de Vries equation

Abstract

Keywords

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