A Bilinear Bäcklund Transformation and Nonlinear Superposition Formula for the Negative Volterra Hierarchy

Xing-Biao Hu; Wei-Min Xue

doi:10.1143/jpsj.72.3075

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

A Bilinear Bäcklund Transformation and Nonlinear Superposition Formula for the Negative Volterra Hierarchy

Xing-Biao Hu, Wei-Min Xue

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Keywords: negative Volterra hierarchy, Bäcklund transformation, superposition principle, Hirota’s bilinear formalism

JOURNAL RESTRICTED ACCESS

2003 Volume 72 Issue 12 Pages 3075-3078

DOI https://doi.org/10.1143/jpsj.72.3075

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Abstract

A bilinear Bäcklund transformation (BT) and the associated nonlinear superposition formula are found for the negative Volterra hierarchy. As an application of the obtained results, soliton solutions to the negative Volterra hierarchy are re-derived.

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