Wronskian solutions to the KdV equation via Bäcklund transformation

dc.creatorXuan, Qi-fei
dc.creatorOu, Mei-ying
dc.creatorZhang, Da-jun
dc.date2007-06-24
dc.date.accessioned2026-07-07T08:12:07Z
dc.date.available2026-07-07T08:12:07Z
dc.descriptionIn the paper we discuss the Bäcklund transformation of the KdV equation between solitons and solitons, between negatons and negatons, between positons and positons, between rational solution and rational solution, and between complexitons and complexitons. We investigate the conditions that Wronskian entries satisfy for the bilinear Bäcklund transformation of the KdV equation. By choosing suitable Wronskian entries and the parameter in the bilinear Bäcklund transformation, we obtain transformations between many kinds of solutions.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0706.3487
dc.identifierhttp://arxiv.org/abs/0706.3487
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132342
dc.subjectExactly Solvable and Integrable Systems
dc.titleWronskian solutions to the KdV equation via Bäcklund transformation
dc.typetext

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