Vector nonlinear Schrödinger hierarchies as approximate Kadomtsev-Petviashvili hierarchies

DOI10.1016/S0167-2789(96)00225-4zbMath0885.35130MaRDI QIDQ1349369

O. Diekmann

Publication date: 5 February 1997

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

zbMATH Keywords

Kadomtsev-Petviashvili hierarchynonlinear Schrödinger hierarchies

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

Localized solitons of a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation ⋮ Modal expansions and completeness relations for some time-dependent Schrödinger equations

Cites Work

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• Linear operators with self-consistent coefficients and rational reductions of KP hierarchy
• A lattice version of the KP equation
• Theta functions and non-linear equations
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Infinite-dimensional Lie groups and algebraic geometry in soliton theory
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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