中国物理B ›› 2018, Vol. 27 ›› Issue (6): 60201-060201.doi: 10.1088/1674-1056/27/6/060201
• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇 下一篇
Multiple Darboux-Bäcklund transformations via truncated Painlevé expansion and Lie point symmetry approach
Shuai-Jun Liu(刘帅君), Xiao-Yan Tang(唐晓艳), Sen-Yue Lou(楼森岳)
- 1 Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China;
2 Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere and Faculty of Science, Ningbo University, Ningbo 315211, China
Multiple Darboux-Bäcklund transformations via truncated Painlevé expansion and Lie point symmetry approach
Shuai-Jun Liu(刘帅君)1, Xiao-Yan Tang(唐晓艳)1, Sen-Yue Lou(楼森岳)1,2
- 1 Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China;
2 Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere and Faculty of Science, Ningbo University, Ningbo 315211, China
摘要：
For a given truncated Painlevé expansion of an arbitrary nonlinear Painlevé integrable system, the residue with respect to the singularity manifold is known as a nonlocal symmetry, called the residual symmetry, which is proved to be localized to Lie point symmetries for suitable prolonged systems. Taking the Korteweg-de Vries equation as an example, the n-th binary Darboux-Bäcklund transformation is re-obtained by the Lie point symmetry approach accompanied by the localization of the n-fold residual symmetries.
中图分类号: (Integrable systems)
- 02.30.Ik