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Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples

V. B. MatveevInstitut de Mathématiques de Bourgogne (IMB), Université de Bourgogne – France Comté, Dijon, FranceA. O. SmirnovSt. Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia
2020en
ABI

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We consider nonlocal symmetries that all or all even (all odd) equations of the AKNS hierarchy have. We construct examples of solutions simultaneously satisfying several nonlocal equations of the AKNS hierarchy. We present a detailed study of single-phase solutions.

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