Ioannidou, Theodora., Pouget, J., Aifantis, E. (2003) Soliton dynamics in a 2D lattice model with nonlinear interactions. Journal of Physics A: Mathematical and General, 36 (3). pp. 643-652. ISSN 0305-4470. (doi:10.1088/0305-4470/36/3/304) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:10483)
The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
Official URL: http://dx.doi.org/10.1088/0305-4470/36/3/304 |
Abstract
This paper is concerned with a lattice model which is suited to square-rectangle transformations characterized by two strain components. The microscopic model involves nonlinear and competing interactions, which play a key role in the stability of soliton solutions and emerge from interactions as a function of particle pairs and noncentral type or bending forces. Special attention is devoted to the continuum approximation of the two-dimensional discrete system with the view of including the leading discreteness effects at the continuum description. The long-time evolution of the localized structures is governed by an asymptotic integrable equation of the Kadomtsev-Petviashviii I type which allows the explicit construction of moving multi-solitons on the lattice. Numerical simulation performed at the discrete system investigates the stability and dynamics of the multi-soliton in the lattice space.
Item Type: | Article |
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DOI/Identification number: | 10.1088/0305-4470/36/3/304 |
Uncontrolled keywords: | STRUCTURAL PHASE-TRANSITIONS; MOLECULAR-DYNAMICS; TRANSFORMATIONS; STABILITY; PATTERNS; GROWTH; ALLOYS |
Subjects: | Q Science > QA Mathematics (inc Computing science) |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Judith Broom |
Date Deposited: | 10 Sep 2008 11:28 UTC |
Last Modified: | 05 Nov 2024 09:43 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/10483 (The current URI for this page, for reference purposes) |
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