New optical solitons and modulation instability analysis of generalized coupled nonlinear Schrodinger-KdV system

In this study, the generalized coupled nonlinear Schrodinger-KdV (NLS-KdV) system is investigated to obtain new optical soliton solutions. This system appears as a model for reciprocity between long and short waves in various physical settings. Different kinds of new soliton solutions including dark, bright, combined dark-bright, singular and combined singular soliton solutions are obtained using two effective methods namely, the extended sinh-Gordon equation expansion method and the solitary wave ansatz method. In addition, the modulation instability analysis of the system is presented based on the standard linear-stability analysis. The behaviours of obtained solutions are expressed by 3D graphs.

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In this study, the generalized coupled nonlinear Schrodinger-KdV (NLS-KdV) system was investigated to find new optical soliton solutions. Various types of soliton solutions were obtained using the extended sinh-Gordon equation expansion method and the solitary wave ansatz method. The modulation instability analysis was also presented. The behaviors of the obtained solutions were expressed using 3D graphs.