Darboux Transformation for the Non-isospectral AKNS Hierarchy and Its Asymptotic Property

Details Darboux Transformation for the Non-isospectral AKNS Hierarchy and Its Asymptotic Property Darboux Transformation for the Non-isospectral AKNS Hierarchy and Its Asymptotic Property

2007-10-02

arxiv.org/abs/0710.0430v1

Physics

Mathematical Physics

11 pages

Scientific paper

10.1016/j.physleta.2008.06.072

In this article, the Darboux transformation for the non-isospectral AKNS hierarchy is constructed. We show that the Darboux transformation for the non-isospectral AKNS hierarchy is not an auto-B\"acklund transformation, because the integral constants of the hierarchy will be changed after the transformation. The transform rule of the integral constants will be also derived. By this means, the soliton solutions of the nonlinear equations derived by the non-isospectral AKNS hierarchy can be found.

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