N-fold Darboux transformation and soliton solutions for a nonlinear Dirac system

作者:Fan EG*
来源:Journal of Physics A: Mathematical and General , 2005, 38(5): 1063-1069.
DOI:10.1088/0305-4470/38//5/008

摘要

From a spectral problem and corresponding Lenard operator pairs, we derive a Dirac soliton hierarchy associated with a nonlinear Dirac system. A systematic method is proposed for constructing the N-fold Darboux transformation of the Dirac system based on its Lax pair. As an application of Darboux transformation, explicit soliton solutions of the Dirac system are given.