%0 Journal Article
%A Konopelchenko, Boris
%A Martínez Alonso, Luis
%T Nonlinear dynamics on the plane and integrable hierarchies of infinitesimal deformations
%D 2002
%@ 0022-2526
%U https://hdl.handle.net/20.500.14352/59822
%X A class of nonlinear problems on the plane, described by nonlinear inhomogeneous ∂¯-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 ∂¯-dressing method.
%~