The Super-Toda Lattice Hierarchy

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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 languageEnglish
Pages (from-to)829-845
Number of pages17
JournalPublications of the Research Institute for Mathematical Sciences
Volume25
Issue number5
DOIs
Publication statusPublished - 1989

ASJC Scopus subject areas

  • Mathematics(all)

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