Complexiton solutions to integrable equations

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dc.creatorMa, Wen-Xiu
dc.date2005-02-17
dc.date2005-02-17
dc.date.accessioned2026-07-07T05:36:17Z
dc.date.available2026-07-07T05:36:17Z
dc.descriptionComplexiton solutions (or complexitons for short) are exact solutions newly introduced to integrable equations. Starting with the solution classification for a linear differential equation, the Korteweg-de Vries equation and the Toda lattice equation are considered as examples to exhibit complexiton structures of nonlinear integrable equations. The crucial step in the solution process is to apply the Wronskian and Casoratian techniques for Hirota's bilinear equations. Correspondence between complexitons of the Korteweg-de Vries equation and complexitons of the Toda lattice equation is provided.
dc.description11 Pages, to appear in Nonlinear Analysis
dc.identifierhttps://arxiv.org/abs/nlin/0502035
dc.identifierhttp://arxiv.org/abs/nlin/0502035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80941
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleComplexiton solutions to integrable equations
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