摘要
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.
基金
Supported by the National Natural Science of China under Grant No 10971109
the K.C.Wong Magna Fund in Ningbo University and Scientific Research Fund of Zhejiang Provincial Education Department under Grant No Y201017148
the Program for NCET under Grant No NCET-08-0515
Natural Science Foundation of Ningbo under Grant No 2011A610179.
