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

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The 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.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/159573

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0606071
 http://arxiv.org/abs/nlin/0606071
 SIGMA 2 (2006), 063, 10 pages
 doi:10.3842/SIGMA.2006.063

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arXiv