### 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 |
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Pages (from-to) | L861 |

Journal | Journal of physics A: mathematical and general |

Volume | 22 |

Issue number | 18 |

DOIs | |

Publication status | Published - 1989 |

### Keywords

- IR-60688

## Cite this

Nijs, H., & Martini, R. (1989). Triviality of the prolongation algebra of the Kuramoto-Sivashinsky equation.

*Journal of physics A: mathematical and general*,*22*(18), L861. https://doi.org/10.1088/0305-4470/22/18/001