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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
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, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Physics A: Mathematical and Theoretical | ||||
| Publisher: | IOP Publishing Ltd | ||||
| ISSN: | 1751-8113 | ||||
| Official Date: | 2009 | ||||
| Dates: |
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| 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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