Hamiltonian structure of the Kadomtsev-Petviashvili. II: Equation in the class of decreasing Cauchy data

DOI10.1007/BF01083494zbMath0675.35072MaRDI QIDQ1122061

V. D. Lipovskij

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

symmetryGreen's functiondispersionPoisson bracketKdV equationspectral dataKP-II equationHamiltonian dynamicsinfinite-dimensional Hamiltonian systeminverse scattering problemKadomtsev-Petviashvili-I equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Extended resolvent of the heat operator with a multisoliton potential ⋮ On the Poisson structure and action-angle variables for the complex modified Korteweg-de Vries equation ⋮ The direct scattering problem for the perturbed Gr(1, 2) _⩾0 Kadomtsev–Petviash-vili II solitons ⋮ The equivalence of different approaches for generating multisoliton solutions of the KPII equation ⋮ Towards an inverse scattering theory for two-dimensional nondecaying potentials ⋮ Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions ⋮ Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation

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