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Fujimoto-Watanabe equations and differential substitutions
- Source :
- Journal of Physics A: Mathematical and General. 24:L519-L521
- Publication Year :
- 1991
- Publisher :
- IOP Publishing, 1991.
-
Abstract
- New Fujimoto-Watanabe non-constant separant evolution equations admitting generalized symmetries are shown to be connected with the Korteweg-de Vries, Sawada-Kotera, Kaup and linear equations via chains of differential substitutions. A conjecture is proposed which explains why the Ibragimov transformation to constant separant equations is a universal link in those chains.
- Subjects :
- Conjecture
General Physics and Astronomy
Statistical and Nonlinear Physics
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Transformation (function)
Homogeneous space
Link (knot theory)
Constant (mathematics)
Nonlinear Sciences::Pattern Formation and Solitons
Mathematical Physics
Linear equation
Differential (mathematics)
Mathematical physics
Mathematics
Subjects
Details
- ISSN :
- 13616447 and 03054470
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Journal of Physics A: Mathematical and General
- Accession number :
- edsair.doi...........45d274d87706ed556250722fce569d6d
- Full Text :
- https://doi.org/10.1088/0305-4470/24/10/004