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

V. B. Matveev, A. O. Smirnov

2020Theoretical and Mathematical Physics15 citationsDOI

Abstract

Abstract 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.

Topics & Concepts

HierarchyMathematicsApplied mathematicsMathematical physicsPolitical scienceLawNonlinear Waves and SolitonsNumerical methods for differential equationsNonlinear Photonic Systems
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