Three-Phase Freak Waves

[摘要] 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.

[关键词] nonlinear Schr¨odinger equation;Hirota equation;freak waves;theta function;reduction;covering;spectral curve