The Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients

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dc.creatorKobayashi, Tadashi
dc.creatorToda, Kouichi
dc.date2006-06-30
dc.date.accessioned2026-07-07T09:34:40Z
dc.date.available2026-07-07T09:34:40Z
dc.descriptionThe general KdV equation (gKdV) derived by T. Chou is one of the famous (1+1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable. In this paper a higher-dimensional gKdV equation, which is integrable in the sense of the Painleve test, is presented. A transformation that links this equation to the canonical form of the Calogero-Bogoyavlenskii-Schiff equation is found. Furthermore, the form and similar transformation for the higher-dimensional modified gKdV equation are also obtained.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0606071
dc.identifierhttp://arxiv.org/abs/nlin/0606071
dc.identifierSIGMA 2 (2006), 063, 10 pages
dc.identifierdoi:10.3842/SIGMA.2006.063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159573
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleThe Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients
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