By the Hirota bilinear method, some new interaction solutions with the complex perturbation for CDGKS equation are obtained. Meanwhile, with the help of the classical nonlinear KdV equation, many new exact solutions of CDGKS equation are derived through the CKdVE method, since it satisfies the CKdVE solvability. Two typical examples also show the local geometric characteristics of the parameter perturbation of these exact solutions.

中文翻译：

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(2+1)-D CDGKS 方程的摄动和 CKdVE 可积的两波相互作用解

利用Hirota双线性方法，得到了CDGKS方程的一些新的复扰动相互作用解。同时，借助经典非线性KdV方程，通过CKdVE方法推导了CDGKS方程的许多新的精确解，因为它满足CKdVE可解性。两个典型例子也展示了这些精确解的参数摄动的局部几何特征。