The Broer-Kaup system with corrections is considered. Based on the inverse scattering transform, we extend the perturbation theory to discuss the adiabatic approximate solution and -order approximate solution of one soliton to the Broer-Kaup system with corrections.

中文翻译：

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具有反向散射变换校正功能的Broer-Kaup系统

考虑了带有校正的Broer-Kaup系统。基于逆散射变换，我们扩展了扰动理论，讨论了修正后的一个孤子到Broer-Kaup系统的绝热近似解和-阶近似解。