The Super-Toda Lattice Hierarchy

研究成果: Article査読

6 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)829-845
ページ数17
ジャーナルPublications of the Research Institute for Mathematical Sciences
25
5
DOI
出版ステータスPublished - 1989

ASJC Scopus subject areas

  • 数学一般

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