Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction

Authors

Junchao Chen
Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow
Yongyang Jin

Document Type

Article

Publication Date

3-2020

Abstract

In this paper, Gram determinant solutions of local and nonlocal integrable discrete nonlinear Schrödinger (IDNLS) equations are studied via the pair reduction. A generalized IDNLS equation is firstly introduced which possesses the single Casorati determinant solution. Two kinds of Gram determinant solutions are presented from Casorati determinant ones due to the gauge freedom. The different pair constraint conditions for wave numbers are imposed and then solutions of local and nonlocal IDNLS equations are derived in terms of Gram determinant.

Comments

Original published version available at https://doi.org/10.1016/j.wavemoti.2019.102487

Recommended Citation

Chen, Junchao, Bao-Feng Feng, and Yongyang Jin. "Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction." Wave Motion 93 (2020): 102487. https://doi.org/10.1016/j.wavemoti.2019.102487

Creative Commons License

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

Publication Title

Wave Motion

DOI

10.1016/j.wavemoti.2019.102487