Geodesic
Systems of equations of $n$-waves and nonlinear Schrödinger equations from the group-theoretical point of view
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 405-413 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is devoted to group-theoretical analysis of a system of equations of $n$-waves and a system of nonlinear Schrödinger equations. The Lie–Bäcklund algebras of these equations are fully described. These algebras are commutative, and there is a one-toone correspondence between them and the commutative Lie algebras of the conservation laws. The connection between the Lie–Bäcklund algebras of the considered systems of equations is found. 
@article{TMF_1982_52_3_a6,
     author = {A. V. Zhiber},
     title = {Systems of equations of $n$-waves and nonlinear {Schr\"odinger} equations from the group-theoretical point of view},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {405--413},
     year = {1982},
     volume = {52},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a6/}
}
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A. V. Zhiber. Systems of equations of $n$-waves and nonlinear Schrödinger equations from the group-theoretical point of view. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 405-413. http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a6/

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