Periodic Two-Phase ``Rogue Waves''

A. O. Smirnov

Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 871-883.

Résumé

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.

Détail

Keywords: focusing nonlinear Schrödinger equation, “rogue wave,” periodic two-gap solution, multiphase solution, finite-gap integration, cycle basis, amplitude peak.

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