https://doi.org/10.1007/s100510170097
Painlevé integrability and multi-dromion solutions of the 2+1 dimensional AKNS system
1
Department of Physics, Shanghai Jiao
Tong University, Shanghai 200030, PR China
2
Physics Department of Ningbo University, Ningbo
315211, PR China
3
Center of Nonlinear Science, University of
Science and Technology of China, Hefei, Anhui
230026, PR China
4
Department of Physics, Zhejiang Normal
University, Jinghua 321004, PR China
Corresponding author: a sylou@mail.sjtu.edu.cn
Received:
31
January
2001
Revised:
15
May
2001
Published online: 15 August 2001
The Painlevé integrability of the 2+1 dimensional AKNS system is proved. Using the standard truncated Painlevé expansion which corresponds to a special Bäcklund transformation, some special types of the localized excitations like the solitoff solutions, multi-dromion solutions and multi-ring soliton solutions are obtained.
PACS: 02.30.Ik – Integrable systems / 02.30.Jr – Partial differential equations / 05.45.Yv – Solitons
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
