Dark solitons for a combined potential KdV and Schwarzian KdV equations with t-dependent coefficients and forcing term

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摘要

In this work we formally derive the dark soliton solutions for the combined potential KdV and Schwarzian KdV equations. The combined KdV and Schwarzian KdV equations with time-dependent coefficients and forcing term are then investigated to obtain dark soliton solutions. The solitary wave ansatz is used to carry out the analysis for both models.

论文关键词:Potential KdV equation,Schwarzian KdV equation,Solitary wave ansatz

论文评审过程:Available online 21 March 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.03.050