Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples - Archive ouverte HAL
Article Dans Une Revue Theoretical and Mathematical Physics Année : 2020

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

Résumé

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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Physique mathématique [math-ph]

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https://hal.science/hal-03035895

Soumis le : mercredi 2 décembre 2020-13:48:41

Dernière modification le : lundi 16 septembre 2024-15:14:03

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Dates et versions

hal-03035895 , version 1 (02-12-2020)

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Vladimir Matveev, A. Smirnov. Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples. Theoretical and Mathematical Physics, 2020, 204 (3), pp.1154-1165. ⟨10.1134/S0040577920090056⟩. ⟨hal-03035895⟩

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