Rapidly Decreasing Solutions of the KdV Hierarchy
โ Scribed by Xueshang Feng
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 426 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0025-584X
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โฆ 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.
๐ SIMILAR VOLUMES
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
## Abstract We investigate soliton solutions of the Toda hierarchy on a quasiโperiodic finiteโgap 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 quasiโperiodic finiteโgap background. Furth