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Fujimoto-Watanabe equations and differential substitutions

Authors :
Sergei Sakovich
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.

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