Geodesic
Multiphase solutions of nonlocal symmetric reductions of equations of the~AKNS hierarchy: General analysis and simplest examples
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 383-395

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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.
Keywords: $\mathcal{PT}$ symmetry, nonlocal model, AKNS hierarchy, nonlinear Schrödinger equation, modified Korteweg–de Vries equation. 
@article{TMF_2020_204_3_a4,
     author = {V. B. Matveev and A. O. Smirnov},
     title = {Multiphase solutions of nonlocal symmetric reductions of equations of {the~AKNS} hierarchy: {General} analysis and simplest examples},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {383--395},
     publisher = {mathdoc},
     volume = {204},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a4/}
}
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V. B. Matveev; A. O. Smirnov. Multiphase solutions of nonlocal symmetric reductions of equations of the~AKNS hierarchy: General analysis and simplest examples. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 383-395. http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a4/