The Toda hierarchy and the KdV hierarchy

DOI10.1007/BF02101288zbMath0867.35096arXivalg-geom/9509006MaRDI QIDQ679390

David Gieseker

Publication date: 22 April 1997

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9509006

zbMATH Keywords

KdV flowsperiodic KdV hierarchyperiodic Toda hierarchiesToda flow

Mathematics Subject Classification ID

Related Items (12)

A KIND OF NEW CONTINUOUS LIMITS OF AN INTEGRABLE COUPLING SYSTEM FOR DISCRETE AKNS HIERARCHY ⋮ Continuous limits for an integrable coupling of the Kac-Van Moerbeke hierarchy ⋮ Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory ⋮ A lattice hierarchy and its continuous limits ⋮ An integrable coupling system of lattice hierarchy and its continuous limits ⋮ The relation between the Toda hierarchy and the KdV hierarchy ⋮ Continuous limits for an integrable coupling system of Toda equation hierarchy ⋮ On a new semi-discrete integrable combination of Burgers and Sharma-Tasso-Olver equation ⋮ On quadratic Poisson brackets ⋮ The exact solutions to a Ragnisco-Tu hierarchy with self-consistent sources ⋮ Multisoliton, multipositon, multinegaton, and multiperiodic solutions of a coupled Volterra lattice system and their continuous limits ⋮ On the continuous limits and integrability of a new coupled semidiscrete mKdV system

Cites Work

• The spectrum of difference operators and algebraic curves
• A lattice version of the KP equation
• Theory of nonlinear lattices.
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points

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