Geodesic
Elliptic breather for nonlinear Shrödinger equation
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 209-222 
A. O. Smirnov. Elliptic breather for nonlinear Shrödinger equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 209-222. http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a10/
@article{ZNSL_2012_398_a10,
     author = {A. O. Smirnov},
     title = {Elliptic breather for nonlinear {Shr\"odinger} equation},
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     pages = {209--222},
     year = {2012},
     volume = {398},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a10/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Two-phase elliptic solution of the nonlinear Shrödinger equation is constructed. The conditions on the parameters for the periodic rogue wave solution are given. It is shown that degenerations of this solution lead to Akhmediev breather and to Peregrin soliton.

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