Triviality of the prolongation algebra of the Kuramoto-Sivashinsky equation

H. Nijs; Ruud Martini

doi:10.1088/0305-4470/22/18/001

Triviality of the prolongation algebra of the Kuramoto-Sivashinsky equation

H. Nijs, Ruud Martini

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Abstract

The authors apply the well known Wahlquist-Estabrook prolongation technique to the Kuramoto-Sivashinsky equation. The prolongation algebra turns out to be trivial in the sense that it is commutative. This supports nonintegrability of the equation.

Original language	Undefined
Pages (from-to)	L861
Journal	Journal of physics A: mathematical and general
Volume	22
Issue number	18
DOIs	https://doi.org/10.1088/0305-4470/22/18/001
Publication status	Published - 1989

Keywords

IR-60688

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10.1088/0305-4470/22/18/001

triviality

Cite this

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abstract = "The authors apply the well known Wahlquist-Estabrook prolongation technique to the Kuramoto-Sivashinsky equation. The prolongation algebra turns out to be trivial in the sense that it is commutative. This supports nonintegrability of the equation.",

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AB - The authors apply the well known Wahlquist-Estabrook prolongation technique to the Kuramoto-Sivashinsky equation. The prolongation algebra turns out to be trivial in the sense that it is commutative. This supports nonintegrability of the equation.

KW - IR-60688

U2 - 10.1088/0305-4470/22/18/001

DO - 10.1088/0305-4470/22/18/001

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SN - 0305-4470

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JO - Journal of physics A: mathematical and general

JF - Journal of physics A: mathematical and general

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