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Decompositions of Backlund transformations for the Korteweg-de Vries equation

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Abstract

In this paper, decomposition relations such as B=SB1S, connecting scale transformations and Backlund transformations for the Korteweg-de Vries K-dV, modified K-dV, higher-order K-dV and cylindrical equations, are obtained.

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Communicated by Chien Wei-zang.

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Xun-cheng, H. Decompositions of Backlund transformations for the Korteweg-de Vries equation. Appl Math Mech 3, 893–897 (1982). https://doi.org/10.1007/BF01895344

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  • DOI: https://doi.org/10.1007/BF01895344

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