journal article

Journal Article

Text

Nonlinearity. 2020, 33(10), p. 5142-5175

Construction of nonlinear lattice with potential symmetry for smooth propagation of discrete breather

IOP Publishing

English

Text

2020-08-26

https://doi.org/10.1088/1361-6544/ab9498

This is the Accepted Manuscript version of an article accepted for publication in Nonlinearity. IOP Publishing Ltd are not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/ab9498.

We construct a nonlinear lattice that has a particular symmetry in its potential function consisting of long-range pairwise interactions. The symmetry enhances smooth propagation of discrete breathers, and it is defined by an invariance of the potential function with respect to a map acting on the complex normal mode coordinates. Condition of the symmetry is given by a set of algebraic equations with respect to coefficients of the pairwise interactions. We prove that the set of algebraic equations has a unique solution, and moreover we solve it explicitly. We present an explicit Hamiltonian for the symmetric lattice, which has coefficients given by the solution. We demonstrate that the present symmetric lattice is useful for numerically computing traveling discrete breathers in various lattices. We propose an algorithm using it.

© 2020 The Japan Society of Applied Physics. This Accepted Manuscript is available for reuse under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License after the 12 month embargo period provided that all the terms of the license are adhered to.

84549

Construction of nonlinear lattice with potential symmetry for smooth propagation of discrete breather

IOP Publishing

English

2020-08-26

Nonlinearity

33

10

5142

5175

https://doi.org/10.1088/1361-6544/ab9498

https://hdl.handle.net/11094/84549