Eur. Phys. J. B 22, 473-478 (2001)
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

Abstract

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.