Nonlocal-derivative NLS equations and group-invariant soliton solutions

Abstract

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. P ˆ T ˆ C ˆ $\hat{P}\hat{T}\hat{C}$ -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.

Keywords

• Nonlocal-derivative NLS equation
• Bilinear method
• Exact solutions
• Soliton