Equivalence transformations in the study of integrability
Date
2014Source
Physica ScriptaVolume
89Issue
3Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
We discuss how point transformations can be used for the study of integrability, in particular, for deriving classes of integrable variable-coefficient differential equations. The procedure of finding the equivalence groupoid of a class of differential equations is described and then specified for the case of evolution equations. A class of fifth-order variable-coefficient Korteweg-de Vries-like equations is studied within the framework suggested. © 2014 The Royal Swedish Academy of Sciences.