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A new super-extension of the KdV hierarchy

โœ Scribed by Xianguo Geng; Lihua Wu


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
257 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


A new integrable super KdV equation
โœ De-gang Zhang; Bo-zang Li ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 106 KB
Rapidly Decreasing Solutions of the KdV
โœ Xueshang Feng ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 426 KB

## 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 Hier
โœ Eliot D. Feldman ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 794 KB

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