Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations

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A 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.
30 pages, tcilatex

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Exactly Solvable and Integrable Systems, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/80153

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0201039
 http://arxiv.org/abs/nlin/0201039

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arXiv