Three-Phase Freak Waves

Symmetry Integrability and Geometry-Methods and Applications

article

Aleksandr O. Smirnov¹  Sergei G. Matveenko¹  Sergei K. Semenov¹  Elena G. Semenova¹ 

[1] St.-Petersburg State University of Aerospace Instrumentation (SUAI)

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

DOI  :  10.3842/SIGMA.2015.032

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown