Poisson brackets for two-dimensional systems that can be integrated by the inverse scattering method

DOI10.1007/BF01019132zbMath0729.58028OpenAlexW2083007401MaRDI QIDQ806126

V. G. Bakurov

Publication date: 1990

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01019132

zbMATH Keywords

HamiltonianPoisson bracketsscattering theoryaction-angle variablesinverse scattering methodaction-angle problemtime asymptotics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Scattering theory of linear operators (47A40)

Cites Work

• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• On three-dimensional packets of surface waves
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