Non-Rational Rogue Waves Induced by Inhomogeneity

Non-Rational Rogue Waves Induced by Inhomogeneity
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非均匀性引起的非理性流氓波

DOI:
10.1088/0256-307x/29/6/060509
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发表时间:
2012-06
影响因子:
3.5
通讯作者:
Li Lin-Jing
Li Lin-Jing
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
He Jing-Song;Wang You-Ying;Li Lin-Jing

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变量Sine?Gordon(VSG)方程常用来模拟各种非均匀性系统,它可以通过对光学中色散和非线性的处理以及玻色-爱因斯坦凝聚体中的Feschbach共振来实现。利用显式变换和可设计可积性,导出了VSG的四种新的非有理流氓波。这些RWs具有新颖的轮廓和有趣的内部结构。结果表明,RW是由VSG建模的系统的不均匀性引起的。讨论了DNA中RWs与某些极端事件对应关系的理论预测。
The variable Sine?Gordon (VSG) equation is often used to model several kinds of systems with inhomogeneity and it can be realized by the management of dispersion and nonlinearity in optics and Feschbach resonance in Bose-Einstein condensates. We derive four new kinds of non-rational rogue wave (RW) of the VSG by using an explicit transformation and the designable integrability. These RWs have novel profiles and interesting internal structures. It is shown that the RW is induced by the inhomogeneity of the system modeled by the VSG. The theoretical prediction of the corresponding relations between the RWs and some extreme events in DNA is discussed.
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