Integrable nonlinear triplet lattice system with the combined inter-mode couplings

In this article we introduce the nonlinear model of three dynamical subsystems coupled both in their kinetic and potential parts. Due to the quasi-one-dimensional spatial structure of its underlying lattice, the model grasps several degrees of freedom capable to imitate the dynamical behavior of lon...

Full description

Saved in:
Bibliographic Details
Published in:European physical journal plus 2020-09, Vol.135 (9), p.769, Article 769
Main Author: Vakhnenko, Oleksiy O.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Couplings
Dynamical systems
Integral equations
Macromolecules
Mathematical analysis
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Subsystems
Theoretical
Variables
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article we introduce the nonlinear model of three dynamical subsystems coupled both in their kinetic and potential parts. Due to the quasi-one-dimensional spatial structure of its underlying lattice, the model grasps several degrees of freedom capable to imitate the dynamical behavior of long macromolecules both natural and synthesized origins. The model admits a clear Hamiltonian formulation with the standard form of fundamental Poisson brackets and it demonstrates the complex-conjugate symmetry between two subsystems of a Toda type. The integrability of system equations is supported by their zero-curvature representation based upon the auxiliary linear problem with the relevant spectral operator of third order. In view of these facts, we have developed an appropriate twofold Darboux–Bäcklund dressing technique capable to generate the nontrivial crop solution embracing all three coupled subsystems. The explicit crop solution to the nonlinear model is found to be of a pronounced pulson character.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-020-00794-x