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

V. B. Matveev   ; A. O. Smirnov

Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 383-395

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.

Détail

Keywords: $\mathcal{PT}$ symmetry, nonlocal model, AKNS hierarchy, nonlinear Schrödinger equation, modified Korteweg–de Vries equation.

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