Three-Phase Freak Waves

Aleksandr O. Smirnov ; Sergei G. Matveenko ; Sergei K. Semenov ; Elena G. Semenova

Symmetry, integrability and geometry: methods and applications, Tome 11 (2015)

Résumé

In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev–Petviashvili and Hirota equations that exhibit the behavior of almost-periodic “freak waves”. We also study the dependency of the solution parameters on the spectral curves.

Détail

Keywords: nonlinear Schrödinger equation; Hirota equation; freak waves; theta function; reduction; covering; spectral curve.

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