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Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic–quintic NLS equation

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Khare, Avinash, Saxena, Avadh and Law, K. J. H. (2009) Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic–quintic NLS equation. Journal of Physics A: Mathematical and Theoretical, Vol.42 (No.47). Article no. 475404. doi:10.1088/1751-8113/42/47/475404

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Official URL: http://dx.doi.org/10.1088/1751-8113/42/47/475404

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Abstract

We highlight an interesting mapping between the moving breather solutions of the generalized nonlinear Schrödinger (NLS) equations and the static solutions of neutral scalar field theories. Using this connection, we then obtain several new moving breather solutions of the cubic–quintic NLS equation both with and without uniform phase in space. The stability of some stationary solutions is investigated numerically and the results are confirmed via dynamical evolution.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Publisher: IOP Publishing Ltd
ISSN: 1751-8113
Official Date: 2009
Dates:
DateEvent
2009UNSPECIFIED
Volume: Vol.42
Number: No.47
Page Range: Article no. 475404
DOI: 10.1088/1751-8113/42/47/475404
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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