Symmetry structure of integrable hyperbolic third order equations
Alexander G Rasin,
Jeremy Schiff
Abstract:We explore the application of generating symmetries, i.e. symmetries that depend on a parameter, to integrable hyperbolic third order equations, and in particular to consistent pairs of such equations as introduced by Adler and Shabat in [1]. Our main result is that different infinite hierarchies of symmetries for these equations can arise from a single generating symmetry by expansion about different values of the parameter. We illustrate this, and study in depth the symmetry structure, for two examples. The firs… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.