We apply the Dbar-dressing method to study a Gerdjikov–Ivanov (GI) equation with nonzero boundary at infinity. A spatial and a time spectral problem associated with GI equation are derived with a asymptotic expansion method. The N-soliton solutions of the GI equation are constructed based the Dbar-equation by choosing a special spectral transformation matrix. Further the explicit one- and two-soliton solutions are obtained.

中文翻译：

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具有非零边界条件的Gerdjikov-Ivanov方程的Dbar修正方法

我们应用Dbar-dressing方法研究在无限远处具有非零边界的Gerdjikov-Ivanov（GI）方程。利用渐近展开法推导了与GI方程相关的空间和时间谱问题。通过选择特殊的光谱变换矩阵，基于Dbar方程构造GI方程的N个孤子解。此外，获得了显式的一孤子和二孤子解决方案。