Solitary waves on a two-dimensional lattice

Jonathan A D Wattis

Research output: Contribution to journalArticle

Abstract

In this paper we analyse the solitary wave structures observed in a two-dimensional lattice using the methods detailed in an earlier paper [1]. In particular we provide a prediction of the form of anisotropy of plane waves that was first noted in numerical calculations. All methods describe the effect of anisotropy on the width of solitary waves, but only one of the methods analysed is capable of describing the effect of anisotropy on the height. A difference in two forms of continuum approximation is noted that does not occur in simpler lattices, i.e. in one-dimensional lattices the methods give the same results, whereas in the lattice studied here, one is shown to be more accurate than the other.

Original languageEnglish
Pages (from-to)238-242
Number of pages5
JournalPhysica Scripta
Volume50
Issue number3
Publication statusPublished - Sep 1994

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solitary waves
anisotropy
plane waves
continuums
predictions
approximation

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Wattis, J. A. D. (1994). Solitary waves on a two-dimensional lattice. Physica Scripta, 50(3), 238-242.
Wattis, Jonathan A D. / Solitary waves on a two-dimensional lattice. In: Physica Scripta. 1994 ; Vol. 50, No. 3. pp. 238-242.
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Wattis, JAD 1994, 'Solitary waves on a two-dimensional lattice', Physica Scripta, vol. 50, no. 3, pp. 238-242.

Solitary waves on a two-dimensional lattice. / Wattis, Jonathan A D.

In: Physica Scripta, Vol. 50, No. 3, 09.1994, p. 238-242.

Research output: Contribution to journalArticle

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Wattis JAD. Solitary waves on a two-dimensional lattice. Physica Scripta. 1994 Sep;50(3):238-242.