Soliton analysis in complex molecular systems: A zig-zag chain
type: Item
instance of: scholarly article
title: Soliton analysis in complex molecular systems: A zig-zag chain
zbMATH Open document ID: 0884.65126
author: O. Diekmann
published in: Journal of Computational Physics
publication date: 1998-03-12T00:00:00Z
review text: Having in view applications in biological macromolecules, the authors consider waves in an anharmonic molecular chain the particles of which can move in both longitudinal and transverse directions. The model also takes into account first- and second-neighbour interactions. Soliton solutions are obtained by numerical minimization of an appropriate Lagrangian (after spatial discretization) and by disregarding solution profiles which are not localized (bell-shaped) and smooth. The authors are interested in physical properties of and interactions between such solutions.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 81V55
Mathematics Subject Classification ID: 92E10
zbMATH DE Number: 1036519
zbMATH Keywords: molecular chains
zbMATH Keywords: Hamiltonian
zbMATH Keywords: stability
zbMATH Keywords: solitons
reviewed by: Gisbert Stoyan
MaRDI profile type: Publication
full work available at URL: jcph.1997.5676
OpenAlex ID: W1973580724
cites work: Q4279216
cites work: Solitons in Molecular Systems
cites work: Biomolecular dynamics of DNA: Statistical mechanics and dynamical models
cites work: Solitons in molecular chains with intramolecular nonlinear interactions
cites work: Two-sublattice kink dynamics and ionic defects in hydrogen-bonded chains
cites work: Solitons on lattices
DOI: 10.1006/JCPH.1997.5676
description: scientific article; zbMATH DE number 1036519