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.
Keywords: freak waves, nonlinear Schrödinger equation, theta-function, reduction, covering.
@article{ND_2013_9_3_a0,
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},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2013_9_3_a0/}
}
TY - JOUR AU - Alexander O. Smirnov AU - Grigory M. Golovachev TI - Constructed in the elliptic functions three-phase solutions for the nonlinear Schr\"odinger equation JO - Russian journal of nonlinear dynamics PY - 2013 SP - 389 EP - 407 VL - 9 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2013_9_3_a0/ LA - ru ID - ND_2013_9_3_a0 ER -
%0 Journal Article %A Alexander O. Smirnov %A Grigory M. Golovachev %T Constructed in the elliptic functions three-phase solutions for the nonlinear Schr\"odinger equation %J Russian journal of nonlinear dynamics %D 2013 %P 389-407 %V 9 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ND_2013_9_3_a0/ %G ru %F ND_2013_9_3_a0
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/