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Computing stationary solutions of the two-dimensional Gross–Pitaevskii equation with deflated continuation

Abstract:

In this work we employ a recently proposed bifurcation analysis technique, the deflated continuation algorithm, to compute steady-state solitary waveforms in a one-component, two-dimensional nonlinear Schr¨odinger equation with a parabolic trap and repulsive interactions. Despite the fact that this system has been studied extensively, we discover a wide variety of previously unknown branches of solutions. We analyze the stability of the newly discovered branches and discuss the bifurcations t...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.cnsns.2017.05.024

Authors


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Institution:
University of Oxford
Oxford college:
Christ Church
Role:
Author
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Funding agency for:
Farrell, P
Grant:
project number 179578
More from this funder
Funding agency for:
Farrell, P
Grant:
project number 179578
Publisher:
Elsevier Publisher's website
Journal:
Communications in Nonlinear Science and Numerical Simulation Journal website
Volume:
54
Pages:
482–499
Publication date:
2017-06-08
Acceptance date:
2017-05-25
DOI:
ISSN:
1007-5704
Source identifiers:
697871
Keywords:
Pubs id:
pubs:697871
UUID:
uuid:4005f800-90c4-41c4-a100-34ab6f931e5a
Local pid:
pubs:697871
Deposit date:
2017-05-31

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