A new super-extension of the KdV hierarchy
โ Scribed by Xianguo Geng; Lihua Wu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 257 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
A new super-extension of the KdV hierarchy is proposed, which is associated with a 3 ร 3 matrix spectral problem. Using super-trace identity, generalized bi-Hamiltonian structures of this hierarchy are established. Moreover, infinite conservation laws of the new super-KdV equation are derived.
๐ SIMILAR VOLUMES
## Abstract In this paper, by considering the Cauchy Problem for the KdV hierarchy in certain weighted Sobolev spaces, the existence of rapidly decreasing solutions is established.
AN EXTENSION OF THE HYPERPROJECTIVE HIERARCHY by ELIOT D. FELDNAN in College Park, Maryland (U.S.A.)I) l) This paper is part of the author's Ph. D. dissertation written at Stevens Institute of Technology under the gracious direction of Professor STEPHEN L. BLOOM to whom the author wishes to express