TY - JOUR
T1 - The Super-Toda Lattice Hierarchy
AU - Ikeda, Kaoru
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1989
Y1 - 1989
N2 - 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.
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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U2 - 10.2977/prims/1195172706
DO - 10.2977/prims/1195172706
M3 - Article
AN - SCOPUS:78751561547
VL - 25
SP - 829
EP - 845
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
SN - 0034-5318
IS - 5
ER -