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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 | Abstract: | A 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 | Services: | Forum | Review | PDF | Favorites |
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