Integrable Discretization and Multi-soliton Solutions of Negative Order AKNS Equation
摘要
In this paper, we propose the discrete and two semi-discrete versions of negative order AKNS equation through the discretization of associated Lax pair of continuous negative order AKNS equation. Discrete and semi-discrete multi-soliton solutions are computed by using Darboux transformation and are presented in the form of quasideterminants. The dynamics of one soliton and interaction of two soliton solutions for negative order AKNS equation are presented in the end.