The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients
The general KdV equation (gKdV) derived by T. Chou is one of the famous (1 + 1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable. In this paper a higher-dimensional gKdV equation, which is integrable in the sense of the Painlevé test, is...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
| Main Authors: | Kobayashi, T., Toda, K. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2006
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146104 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients / T. Kobayashi, K. Toda // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 70 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
-
Asymptotic solutions of soliton type of the Korteweg–de Vries equation with variable coefficients and singular perturbation
by: V. H. Samoilenko, et al.
Published: (2019) -
Asymptotic soliton-like solutions to the Benjamin–Bona–Mahony equation with variable coefficients and a strong singularity
by: V. Samoilenko, et al.
Published: (2021) -
Non-Integrability of Some Higher-Order Painlevé Equations in the Sense of Liouville
by: Christov, O., et al.
Published: (2015) -
Ultradiscrete Painlevé VI with Parity Variables
by: Takemura, K., et al.
Published: (2013) -
On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
by: Nakayashiki, A.
Published: (2019)