Based on the degenerate Darboux transformation, the n-positon solution of the higher-order Chen–Lee–Liu (HOCLL) equation are obtained by the special limit \(\lambda _{j}\rightarrow \lambda _{1}\) taking from the corresponding n-soliton solution, and using the higher-order Taylor expansion. Using the method of the modulus square decomposition, n-positon is decomposed into n single soliton solutions. The dynamic properties of smooth positon of the HOCLL equation are discussed in detail, and the corresponding trajectory, approximate trajectory and “phase shift” are obtained. In addition, the mixed solutions of soliton and positon are discussed, and the corresponding three-dimensional map are given.

基于退化 Darboux 变换，通过特殊极限\(\lambda _{j}\rightarrow \lambda _{1}\)得到高阶 Chen-Lee-Liu (HOCLL) 方程的n位解从相应的n -孤子解中取出，并使用高阶泰勒展开。使用模平方分解的方法，将n-位置分解为n个单孤子解。详细讨论了HOCLL方程光滑位置的动力学性质，得到了相应的轨迹、近似轨迹和“相移”。此外，还讨论了孤子和正子的混合解，并给出了相应的三维图。