Envelope solitary waves on two-dimensional lattices with in-plane displacements

Y. Gaididei, R. Huß and F.G. Mertens

The European Physical Journal B: Condensed Matter and Complex Systems, 1998, vol. 6, issue 2, 257-271

Abstract: We investigate envelope solitary waves on square lattices with two degrees of freedom and nonlinear nearest and next-nearest neighbor interactions. We consider solitary waves which are localized in the direction of their motion and periodically modulated along the perpendicular direction. In the quasi-monochromatic approximation and low-amplitude limit a system of two coupled nonlinear Schrödinger equations (CNLS) is obtained for the envelopes of the longitudinal and transversal displacements. For the case of bright envelope solitary waves the solvability condition is discussed, also with respect to the modulation. The stability of two special solution classes (type-I and type-II) of the CNLS equations is tested by molecular dynamics simulations. The shape of type-I solitary waves does not change during propagation, whereas the width of type-II excitations oscillates in time. Copyright EDP Sciences, Springer-Verlag 1998

Keywords: PACS. 03.40.Kf Waves and wave propagation: general mathematical aspects - 63.20.Ry Anharmonic lattice modes - 62.20.Pw Mechanical properties of solids (search for similar items in EconPapers)
Date: 1998
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1007/s100510050548 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:6:y:1998:i:2:p:257-271:10.1007/s100510050548

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1007/s100510050548

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().