Why the general Zakharov-Shabat equations form a hierarchy

DOI10.1007/BF02101461zbMath0803.35125arXivhep-th/9305108OpenAlexW2038287700MaRDI QIDQ1330949

L. A. Dickey

Publication date: 10 August 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9305108

zbMATH Keywords

soliton solutionsstring equationzero-curvature equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (2)

AKS hierarchy and bi-Hamiltonian geometry of Gelfand–Zakharevich type ⋮ \(\tau\)-functions for a two-point version of the KP-hierarchy

Cites Work

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• On a new hierarchy of symmetries for the Kadomtsev-Petviashvili equation
• Loop groups and equations of KdV type
• On a direct method of constructing multi-soliton solutions
• ADDITIONAL SYMMETRIES OF KP, GRASSMANNIAN, AND THE STRING EQUATION
• Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation

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