Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations

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dc.creatorKonopelchenko, B.
dc.creatorAlonso, L. Martinez
dc.date2002-01-21
dc.date.accessioned2026-07-07T05:33:52Z
dc.date.available2026-07-07T05:33:52Z
dc.descriptionA class of nonlinear problems on the plane, described by nonlinear inhomogeneous $\bar{\partial}$-equations, is considered. It is shown that the corresponding dynamics, generated by deformations of inhomogeneous terms (sources) is described by Hamilton-Jacobi type equations associated with hierarchies of dispersionless integrable systems. These hierarchies are constructed by applying the quasiclassical $\bar{\partial}$-dressing method.
dc.description30 pages, tcilatex
dc.identifierhttps://arxiv.org/abs/nlin/0201039
dc.identifierhttp://arxiv.org/abs/nlin/0201039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80153
dc.subjectExactly Solvable and Integrable Systems
dc.subjectComplex Variables
dc.titleNonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations
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