On Mikhailov's reduction group
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2015-05-26
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Abstract
We propose a generalization of the notion of reduction group which provides group-theoretical tools to study in a uniform way certain classes of nonlocal S-integrable equations like Ablowitz-Musslimani's nonlocal Schrödinger equation. Another benefit of the generalization to be presented here is that it supplies us with a systematic approach to construct solutions to S-integrable equations with prescribed symmetries.