论文标题
部分可观测时空混沌系统的无模型预测
Partial-rogue waves that come from nowhere but leave with a trace in the Sasa-Satsuma equation
论文作者
论文摘要
在sasa-satsuma方程式中，在分析上预测并在数值上确认了部分流浪的波浪，即``无处又有痕迹的波浪。冈本多项式具有真实但没有想象的根，但不是真实的根部，我们进一步表明，在很大的负面时间，这些部分流浪的波动接近恒定的振幅背景，但是在很大的积极时期，它们分为几个基本的理性索利顿，它们的数量是由溶液中的真实溶解性的，而是对求职者的真实态度来确定。观察到一致。
Partial-rogue waves, i.e., waves that ``come from nowhere but leave with a trace", are analytically predicted and numerically confirmed in the Sasa-Satsuma equation. We show that, among a class of rational solutions in this equation that can be expressed through determinants of 3-reduced Schur polynomials, partial-rogue waves would arise if these rational solutions are of certain orders, where the associated generalized Okamoto polynomials have real but not imaginary roots, or imaginary but not real roots. We further show that, at large negative time, these partial-rogue waves approach the constant-amplitude background, but at large positive time, they split into several fundamental rational solitons, whose numbers are determined by the number of real or imaginary roots in the underlying generalized Okamoto polynomial. Our asymptotic predictions are compared to true solutions, and excellent agreement is observed.
