
arXiv: 1412.1562
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schr��dinger 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.
Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), FOS: Physical sciences, reduction, Mathematical Physics (math-ph), Pattern Formation and Solitons (nlin.PS), covering, Nonlinear Sciences - Pattern Formation and Solitons, Hirota equation, theta function, freak waves, Spectral theory and eigenvalue problems for partial differential equations, spectral curve, Exactly Solvable and Integrable Systems (nlin.SI), nonlinear Schrödinger equation, Mathematical Physics, Periodic solutions to PDEs
Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), FOS: Physical sciences, reduction, Mathematical Physics (math-ph), Pattern Formation and Solitons (nlin.PS), covering, Nonlinear Sciences - Pattern Formation and Solitons, Hirota equation, theta function, freak waves, Spectral theory and eigenvalue problems for partial differential equations, spectral curve, Exactly Solvable and Integrable Systems (nlin.SI), nonlinear Schrödinger equation, Mathematical Physics, Periodic solutions to PDEs
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