Integration of the soliton hierarchy with self-consistent sources

@article{Zeng2000IntegrationOT,
  title={Integration of the soliton hierarchy with self-consistent sources},
  author={Yunbo Zeng and Wenxiu Ma and Runliang Lin},
  journal={Journal of Mathematical Physics},
  year={2000},
  volume={41},
  pages={5453-5489}
}
In contrast with the soliton equations, the evolution of the eigenfunctions in the Lax representation of soliton equation with self-consistent sources (SESCS) possesses singularity. We present a general method to treat the singularity to determine the evolution of scattering data. The AKNS hierarchy with self-consistent sources, the MKdV hierarchy with self-consistent sources, the nonlinear Schrodinger equation hierarchy with self-consistent sources, the Kaup–Newell hierarchy with self… 
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