Non-Rational Rogue Waves Induced by Inhomogeneity
HE Jing-Song** , WANG You-Ying, LI Lin-Jing
Department of Mathematics, Ningbo University, Ningbo 315211
Non-Rational Rogue Waves Induced by Inhomogeneity
HE Jing-Song** , WANG You-Ying, LI Lin-Jing
Department of Mathematics, Ningbo University, Ningbo 315211
Abstract ：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.
Key words ：
05.45.Yv
42.65.Tg
03.75.Lm
87.14.Gk
收稿日期: 2012-02-29
出版日期: 2012-05-31
:
05.45.Yv
(Solitons)
42.65.Tg
(Optical solitons; nonlinear guided waves)
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
87.14.gk
(DNA)
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2012, Vol. 29 
