Constructed in the elliptic functions three-phase solutions for the nonlinear Schr\"odinger equation
Russian journal of nonlinear dynamics, Tome 9 (2013) no. 3, pp. 389-407

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Three-phase finite-gap with behavior of almost-periodic freak waves solutions for the nonlinear Schrödinger and the KP-I equations were constructed. Dependencies of parameters of solutions from the parameters of spectral curve were studied.
Mots-clés : rogue waves, KP equation, Hirota equation
Keywords: freak waves, nonlinear Schrödinger equation, theta-function, reduction, covering.
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     author = {Alexander O. Smirnov and Grigory M. Golovachev},
     title = {Constructed in the elliptic functions three-phase solutions for the nonlinear {Schr\"odinger} equation},
     journal = {Russian journal of nonlinear dynamics},
     pages = {389--407},
     publisher = {mathdoc},
     volume = {9},
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     url = {http://geodesic.mathdoc.fr/item/ND_2013_9_3_a0/}
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Alexander O. Smirnov; Grigory M. Golovachev. Constructed in the elliptic functions three-phase solutions for the nonlinear Schr\"odinger equation. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 3, pp. 389-407. http://geodesic.mathdoc.fr/item/ND_2013_9_3_a0/