Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations

DOI10.1111/1467-9590.00226zbMath1141.37352arXivnlin/0201039OpenAlexW2167929317MaRDI QIDQ3522124

Martinez L. Alonso, B. G. Konopelchenko

Publication date: 29 August 2008

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0201039

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (8)

Corrugated Surfaces with Slow Modulation and Quasiclassical Weierstrass Representation ⋮ Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type ⋮ Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation ⋮ Dispersionless integrable equations as coisotropic deformations: extensions and reductions ⋮ On the \(\overline{\delta}\)-dressing method applicable to heavenly equation ⋮ The dispersionless Veselov-Novikov equation: symmetries, exact solutions, and conservation laws ⋮ Coisotropic deformations of associative algebras and dispersionless integrable hierarchies ⋮ Conformal mappings and dispersionless Toda hierarchy

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