Abstract

A coupled Chen–Lee–Liu (CLL) system is proposed and its linear Lax pair is given. Many kinds of nonlocal-derivative NLS (DNLS) equations arise from the group symmetry reductions of the coupled CLL system. \(\hat{P}\hat{T}\hat{C}\)-symmetry invariant one-soliton solution and periodic two-soliton solution of a two-place DNLS (TDNLS) system are obtained. A group symmetry invariant two-soliton solution of a four-place DNLS (FDNLS) system is worked out. New characteristics of the two-soliton interactions for the TDNLS system and FDNLS system are analyzed.

中文翻译：

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非局部导数NLS方程和组不变孤子解

摘要

提出了Chen–Lee–Liu（CLL）耦合系统，并给出了其线性Lax对。耦合CLL系统的群对称约简引起了许多非局部导数NLS（DNLS）方程。\（\ hat {P} \ hat {T} \ hat {C} \） -获得了两地DNLS（TDNLS）系统的对称不变单孤子解和周期两孤子解。研究了四位DNLS（FDNLS）系统的群对称不变两孤子解。分析了TDNLS系统和FDNLS系统的两个孤子相互作用的新特征。