On the Darboux transformation of a generalized inhomogeneous higher-order nonlinear Schrödinger equation

作者: Xuelin Yong , Guo Wang , Wei Li , Yehui Huang , Jianwei Gao

DOI: 10.1007/S11071-016-3026-4

关键词:

摘要: Recently, a paper about the Nth-order rogue waves for an inhomogeneous higher-order nonlinear Schrodinger equation using generalized Darboux transformation is published. Song et al. (Nonlinear Dyn 82(1):489–500. doi: 10.1007/s11071-015-2170-6 , 2015). However, which admits nonisospectral linear eigenvalue problem mistaken having constant spectral parameter by authors. This basic error causes results to be wrong, especially regarding (DT) in Sect. 2 when terms are dependent of spatial variable x. In fact, DT has essential difference from isospectral case, and their correct only absence inhomogeneity was already discussed detail before. Consequently, we firstly modify based on corresponding problem. Then, nonautonomous solitons obtained zero seed solutions. Properties these solutions media graphically illustrate influences coefficients. Finally, failure finding breather wave this modified also discussed.

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