TY - JOUR T1 - The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform AU - Li , Q. AU - Zhang , J. B. AU - Chen , D. Y. JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 663 EP - 674 PY - 2018 DA - 2018/05 SN - 7 DO - http://doi.org/10.4208/aamm.2013.m450 UR - https://global-sci.org/intro/article_detail/aamm/12069.html KW - AB -

Another form of the discrete mKdV hierarchy with self-consistent sources is given in the paper. The self-consistent sources are presented only by the eigenfunctions corresponding to the reduction of the Ablowitz-Ladik spectral problem. The exact soliton solutions are also derived by the inverse scattering transform.