Multiple states of intrinsic localized modes

Yuri S. Kivshar, Alan R. Champneys, David Cai, Alan R. Bishop

Research output: Contribution to journalArticle

Abstract

In the framework of the continuum approximation, localized modes in nonlinear lattices ("intrinsic localized modes" or "discrete breathers") are described by the nonlinear Schrödinger (NLS) equation. We go beyond this approximation and analyze what kind of qualitatively new effects can be introduced by discreteness. Taking into account the higher-order linear and nonlinear dispersion terms in the NLS equation derived from a lattice model, we predict the existence of bound states of intrinsic localized excitations. These bound states of nonlinear localized modes are also found numerically for a discrete chain with linear and nonlinear cubic interparticle interaction.

Original languageEnglish (US)
Pages (from-to)5423-5428
Number of pages6
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume58
Issue number9
StatePublished - Sep 1 1998

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Nonlinear equations
nonlinear equations
approximation
continuums
excitation
interactions

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Kivshar, Y. S., Champneys, A. R., Cai, D., & Bishop, A. R. (1998). Multiple states of intrinsic localized modes. Physical Review B - Condensed Matter and Materials Physics, 58(9), 5423-5428.

Multiple states of intrinsic localized modes. / Kivshar, Yuri S.; Champneys, Alan R.; Cai, David; Bishop, Alan R.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 58, No. 9, 01.09.1998, p. 5423-5428.

Research output: Contribution to journalArticle

Kivshar, YS, Champneys, AR, Cai, D & Bishop, AR 1998, 'Multiple states of intrinsic localized modes', Physical Review B - Condensed Matter and Materials Physics, vol. 58, no. 9, pp. 5423-5428.
Kivshar YS, Champneys AR, Cai D, Bishop AR. Multiple states of intrinsic localized modes. Physical Review B - Condensed Matter and Materials Physics. 1998 Sep 1;58(9):5423-5428.
Kivshar, Yuri S. ; Champneys, Alan R. ; Cai, David ; Bishop, Alan R. / Multiple states of intrinsic localized modes. In: Physical Review B - Condensed Matter and Materials Physics. 1998 ; Vol. 58, No. 9. pp. 5423-5428.
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