The Super-Toda Lattice Hierarchy

Kaoru Ikeda

doi:10.2977/prims/1195172706

The Super-Toda Lattice Hierarchy

Kaoru Ikeda

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The super-Toda lattice (STL) hierarchy is introduced. The equivalence between the Lax representation and Zakharov-Shabat representation of the STL hierarchy is shown. Introducing the Lie superalgebra osp(∞ | ∞), the ortho-symplectic (OSp)-STL hierarchy is defined as well. These equations are solved through the Riemann-Hilbert decomposition of corresponding infinite dimensional Lie supergroups. An explicit representation of solutions is given by means of the super-τ field.

Original language	English
Pages (from-to)	829-845
Number of pages	17
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	25
Issue number	5
DOIs	https://doi.org/10.2977/prims/1195172706
Publication status	Published - 1989

ASJC Scopus subject areas

Mathematics(all)

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10.2977/prims/1195172706

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AB - The super-Toda lattice (STL) hierarchy is introduced. The equivalence between the Lax representation and Zakharov-Shabat representation of the STL hierarchy is shown. Introducing the Lie superalgebra osp(∞ | ∞), the ortho-symplectic (OSp)-STL hierarchy is defined as well. These equations are solved through the Riemann-Hilbert decomposition of corresponding infinite dimensional Lie supergroups. An explicit representation of solutions is given by means of the super-τ field.

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The Super-Toda Lattice Hierarchy

Abstract

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