Geodesic
Nonlocal evolution equations associated with the Zakharov--Shabat spectral problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 2, pp. 313-317

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Evolution equations with a pseudodifferential operator associated with the Zakharov–Shabat spectral problem are investigated. Correspondence between their symmetries and the symmetiies of Schrödinger-type equations is established. This correspondence is used to construct the soliton solutions. 
@article{TMF_1987_72_2_a14,
     author = {B. A. Magadeev},
     title = {Nonlocal evolution equations associated with the {Zakharov--Shabat} spectral problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {313--317},
     publisher = {mathdoc},
     volume = {72},
     number = {2},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_72_2_a14/}
}
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B. A. Magadeev. Nonlocal evolution equations associated with the Zakharov--Shabat spectral problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 2, pp. 313-317. http://geodesic.mathdoc.fr/item/TMF_1987_72_2_a14/