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 |
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Pages (from-to) | 829-845 |
Number of pages | 17 |
Journal | Publications of the Research Institute for Mathematical Sciences |
Volume | 25 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1989 |
ASJC Scopus subject areas
- Mathematics(all)