The Calogero–Bogoyavlenskii–Schiff breaking soliton equation: Recursion operators and higher symmetries

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چکیده

We find two one-parametric families of recursion operators and use them to construct higher symmetries for the Calogero--Bogoyavlenskii--Schiff breaking soliton equation. Then we prove that from first family pair-wise commute with respect Nijenhuis bracket (are compatible).

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ژورنال

عنوان ژورنال: Journal of Geometry and Physics

سال: 2023

ISSN: ['1879-1662', '0393-0440']

DOI: https://doi.org/10.1016/j.geomphys.2023.104927