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  • 标题:Nonlocal-derivative NLS equations and group-invariant soliton solutions
  • 本地全文:下载
  • 作者:Yuqin Yao ; Yehui Huang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-13
  • DOI:10.1186/s13662-020-2530-5
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
  • 关键词:Nonlocal-derivative NLS equation;Bilinear method;Exact solutions;Soliton;
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