The robust inverse scattering method for focusing Ablowitz–Ladik equation on the non-vanishing background

Authors

Yiren Chen
Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow
Liming Ling

Document Type

Article

Publication Date

10-2021

Abstract

In this paper, we consider the robust inverse scattering method for the Ablowitz–Ladik (AL) equation on the non-vanishing background, which can be used to deal with arbitrary-order poles on the branch points and spectral singularities in a unified way. The Darboux matrix is constructed with the aid of loop group method and considered within the framework of robust inverse scattering transform. Various soliton solutions are constructed without using the limit technique. These solutions include general soliton, breathers, as well as high order rogue wave solutions.

Comments

Original published version available at https://doi.org/10.1016/j.physd.2021.132954

Recommended Citation

Chen, Yiren, Bao-Feng Feng, and Liming Ling. "The robust inverse scattering method for focusing Ablowitz–Ladik equation on the non-vanishing background." Physica D: Nonlinear Phenomena 424 (2021): 132954. https://doi.org/10.1016/j.physd.2021.132954

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Physica D: Nonlinear Phenomena

DOI

10.1016/j.physd.2021.132954