The Generalised Marchenko Equation and the Canonical Structure of the A.K.N.S.-Z.S. Inverse Method

DOI10.1088/0031-8949/20/3-4/031zbMath1063.37560OpenAlexW2041520460MaRDI QIDQ4491229

R. K. Dodd, R. K. Bullough

Publication date: 24 July 2000

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0031-8949/20/3-4/031

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Other special methods applied to PDEs (35A25)

Related Items (5)

Quantum and classical integrability: New approaches in statistical mechanics ⋮ Canonical structure of soliton equations. I ⋮ Complete integrability of the Kadomtsev-Petviashvili equations in \(2+1\) dimensions ⋮ Inverse scattering theory for systems of the Zakharov–Shabat type ⋮ Self-similar solutions of the modified nonlinear Schrödinger equation

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