The discrete KP hierarchy and the negative power series on the complex plane

DOI10.1007/s40314-013-0031-9zbMath1338.37090OpenAlexW2036626185MaRDI QIDQ382448

Tovias Castro Polo, Nancy López Reyes, Raúl Felipe

Publication date: 19 November 2013

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-013-0031-9

zbMATH Keywords

integrable systemdiscrete KP hierarchystate linear infinite-dimensional system

Mathematics Subject Classification ID

Controllability (93B05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometric methods (93B27)

Related Items (2)

A discrete hierarchy of double bracket equations and a class of negative power series ⋮ Matrix-valued Laurent polynomials, parametric linear systems and integrable systems

Cites Work

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• Ghost symmetry of the discrete KP hierarchy
• Representation and control of infinite dimensional systems
• The finite discrete KP hierarchy and the rational functions
• The determinant representation of the gauge transformation for the discrete KP hierarchy
• Semigroups of linear operators and applications to partial differential equations
• Modified KP and discrete KP
• Transfer functions for infinite-dimensional systems
• SYMMETRIES AND LIE ALGEBRA OF THE DIFFERENTIAL–DIFFERENCE KADOMSTEV–PETVIASHVILI HIERARCHY
• Geometry of Rational Functions and Nonlinear Integrable Systems
• Algebraic aspects of the discrete KP hierarchy

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