Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations

2002/01/21 by B. G. Konopelchenko, B. Konopelchenko, Konopelchenko, B. +3
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Elasticity and Wave Propagation #Nonlinear Waves and Solitons #math.CV #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0201039

30 pages, tcilatex

arxiv created 2002/01/21 · arxiv updated 2009/11/30

Abstract

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.

Citations

• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

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