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

Ling Liu, Xiao-Yong Wen, Nan Liu, Tao Jiang and Jin-Yun Yuan

Applied Mathematics and Computation, 2020, vol. 387, issue C

Abstract: A new integrable hierarchy related to a 4 × 4 matrix isospectral problem is proposed, in which the semi-discrete version of the coupled KdV system is the first member. Subsequently the N-fold Darboux transformation for the second member in the obtained hierarchy is constructed. As applications, the explicitly exact solutions to the equation in three cases of different seed solutions are discussed and their graphs are showed to analyze the corresponding dynamical properties. Meanwhile some numerical simulations are given to illustrate these properties.

Keywords: 4 × 4 matrix isospectral problem; Integrable hierarchy; Semi-discrete coupled KdV system; N-fold Darboux transformation; Soliton (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300319305041

DOI: 10.1016/j.amc.2019.06.039

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