Existence of Korteweg-de Vries solitons and relevance of relativistic effects in a dusty electron-ion plasma

Winkler, Maricarmen A.; Muñoz, Víctor; Asenjo, Felipe A.

doi:10.1016/j.fpp.2023.100030

Fundamental Plasma Physics

2024

DOI: 10.1016/j.fpp.2023.100030

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Existence of Korteweg-de Vries solitons and relevance of relativistic effects in a dusty electron-ion plasma

Maricarmen A. Winkler,

Víctor Muñoz,

Felipe A. Asenjo

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2024

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Cited by 2 publications

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Accelerating solutions of the Korteweg–de Vries equation

Winkler,

Asenjo

2024

J. Phys. A: Math. Theor.

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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 Korteweg-de Vries equation in terms of the Painlevé 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

Winkler,

Asenjo

2024

J. Phys. A: Math. Theor.

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A Fractional Model to Study Soliton in Presence of Charged Space Debris at Low-Earth Orbital Plasma Region

El-Nabulsi

2024

IEEE Trans. Plasma Sci.

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Existence of Korteweg-de Vries solitons and relevance of relativistic effects in a dusty electron-ion plasma

Cited by 2 publications

References 38 publications

Accelerating solutions of the Korteweg–de Vries equation

Accelerating solutions of the Korteweg–de Vries equation

A Fractional Model to Study Soliton in Presence of Charged Space Debris at Low-Earth Orbital Plasma Region

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