Spatial structure of the non-integrable discrete defocusing Hirota equation

Liyuan Ma; Miaoshuang Fang; Haifang Song; Jiali Zhou

doi:10.1063/5.0151473

Spatial structure of the non-integrable discrete defocusing Hirota equation

Chaos. 2023 Aug 1;33(8):083123. doi: 10.1063/5.0151473.

Authors

Liyuan Ma¹, Miaoshuang Fang¹, Haifang Song¹, Jiali Zhou¹

Affiliation

¹ Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, People's Republic of China.

PMID: 37549119
DOI: 10.1063/5.0151473

Abstract

In this paper, we investigate the spatial property of the non-integrable discrete defocusing Hirota equation utilizing a planar nonlinear discrete dynamical map method. We construct the periodic orbit solutions of the stationary discrete defocusing Hirota equation. The behavior of the orbits in the vicinity of the special periodic solution is analyzed by taking advantage of the named residue. We characterize the effects of the parameters on the aperiodic orbits with the aid of numerical simulations. A comparison with the non-integrable discrete defocusing nonlinear Schrödinger equation case reveals that the non-integrable discrete defocusing Hirota equation has more abundant spatial properties. Rather an interesting and novel thing is that for any initial value, there exists triperiodic solutions for a reduced map.