Canonical property of the Miura maps between the MKP and KP hierarchies, continuous and discrete

DOI10.1007/BF02100590zbMath0813.35108MaRDI QIDQ1345173

Boris A. Kupershmidt

Publication date: 2 March 1995

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

zbMATH Keywords

Miura mapintegrable Hamiltonian systems

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) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (10)

Quasi-symmetric functions and the KP hierarchy ⋮ On the discrete modified KP hierarchies: the Wronskian solutions for their constrained cases ⋮ Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases ⋮ Extended Equations of Long Waves ⋮ mKdV and its Birkhoff coordinates ⋮ On the Miura Map between the dispersionless KP and dispersionless modified KP hierarchies ⋮ Dark Equations ⋮ Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies ⋮ Super KP equations and Darboux transformations: Another perspective on the Jacobian super KP hierarchy ⋮ Newton’s method on the complex exponential function

Cites Work

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• Mathematics of dispersive water waves
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• ON TWO CONSTRUCTIONS OF CONSERVATION LAWS FOR LAX EQUATIONS
• The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
• On the antiplectic pair connected with the Adler-Gel'fand-Dikii bracket
• On the quasi-Hamiltonian formalism of the KdV equation

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