| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632045 | Applied Mathematics and Computation | 2010 | 6 Pages |
Abstract
Soliton, rational and special solutions for any member of the Korteweg-de Vries hierarchy are presented. It is shown that the soliton solutions are found by means of the Hirota formulae with change of the dispersion relation, special solutions for the Korteweg-de Vries hierarchy are expressed via the transcendents of the first and the second Painlevé hierarchies and rational solutions of members for the Korteveg-de Vries hierarchy can be presented using the Yablonski-Vorobév polynomials.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nikolai A. Kudryashov,