Geodesic
Periodic Two-Phase ``Rogue Waves''
Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 871-883

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A family of periodic (in $x$ and $z$) two-gap solutions of the focusing nonlinear Schrödinger equation is constructed. A condition under which the two-gap solutions exhibit the behavior of periodic “rogue waves” is obtained.
Keywords: focusing nonlinear Schrödinger equation, “rogue wave,” periodic two-gap solution, multiphase solution, finite-gap integration, cycle basis, amplitude peak. 
@article{MZM_2013_94_6_a6,
     author = {A. O. Smirnov},
     title = {Periodic {Two-Phase} {``Rogue} {Waves''}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {871--883},
     publisher = {mathdoc},
     volume = {94},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a6/}
}
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A. O. Smirnov. Periodic Two-Phase ``Rogue Waves''. Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 871-883. http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a6/