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29 March 2024
 
  » arxiv » nlin.SI/0201039

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Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations
B. Konopelchenko ; L. Martinez Alonso ;
Date 21 Dec 2001
Subject Exactly Solvable and Integrable Systems; Complex Variables | nlin.SI math.CV
AbstractA class of nonlinear problems on the plane, described by nonlinear inhomogeneous $ar{partial}$-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 $ar{partial}$-dressing method.
Source arXiv, nlin.SI/0201039
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