RT Journal Article
T1 Nonlinear dynamics on the plane and integrable hierarchies of infinitesimal deformations
A1 Konopelchenko, Boris
A1 Martínez Alonso, Luis
AB 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.
PB Wiley-Blackwell
SN 0022-2526
YR 2002
FD 2002-11
LK https://hdl.handle.net/20.500.14352/59822
UL https://hdl.handle.net/20.500.14352/59822
LA eng
NO ©2002 by the Massachusetts Institute of Technology.The authors are very grateful to the Isaac Newton Institute for Mathematical Sciences of Cambridge, where this work has been done and written, for the kind hospitality. They are also grateful to the organizers of the programme “Integrable Systems” for the support  provided. L. Martínez Alonso wishes to thank the Fundacion Banco Bilbao Vizcaya Argentaria for supporting his stay  at Cambridge University as a BBV visiting professor.
DS Docta Complutense
RD 8 abr 2025