๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Rapidly Decreasing Solutions of the KdV Hierarchy

โœ Scribed by Xueshang Feng


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
426 KB
Volume
167
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Singularity analysis in 2+1-dimensional
โœ Jun Yu; Zhi-kun Xie ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 69 KB ๐Ÿ‘ 2 views

Using the perturbation expansion of multiple scales, a 2#1-dimensional generalization of the perturbation equations of the KdV hierarchy is given. It is found that the system satisfies the Painleveยดproperty and allows a set of Baยจcklund transformations obtained by truncating the series expansions of

Soliton solutions of the Toda hierarchy
โœ Iryna Egorova; Johanna Michor; Gerald Teschl ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 174 KB

## Abstract We investigate soliton solutions of the Toda hierarchy on a quasiโ€periodic finiteโ€gap background by means of the double commutation method and the inverse scattering transform. In particular, we compute the phase shift caused by a soliton on a quasiโ€periodic finiteโ€gap background. Furth