An integrable lattice hierarchy associated with a 4 × 4 matrix spectral problem: N-fold Darboux transformation and dynamical properties

作者：

Highlights：

• A new integrable lattice hierarchy associated with a 4 × 4 matrix isospectral problem is proposed.

• The N-fold Douboux transformations of the second lattice systems are established.

• The explicitly exact solutions of the equation are given in determinant forms and discussed in different cases.

• The figures and numerical simulations are showed to illustrate the interaction phenomena and the dynamical properties.

摘要

•A new integrable lattice hierarchy associated with a 4 × 4 matrix isospectral problem is proposed.•The N-fold Douboux transformations of the second lattice systems are established.•The explicitly exact solutions of the equation are given in determinant forms and discussed in different cases.•The figures and numerical simulations are showed to illustrate the interaction phenomena and the dynamical properties.

论文关键词：4 × 4 matrix isospectral problem,Integrable hierarchy,Semi-discrete coupled KdV system,N-fold Darboux transformation,Soliton

论文评审过程：Received 24 March 2019, Revised 19 May 2019, Accepted 10 June 2019, Available online 25 June 2019, Version of Record 2 September 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2019.06.039