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 |
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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 |
巻 | 25 |
号 | 5 |
DOI | |
出版ステータス | Published - 1989 |
ASJC Scopus subject areas
- 数学 (全般)