The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Stability of solitons in parity-time-symmetric couplers
Open accessAbstract
Families of analytical solutions are found for symmetric and antisymmetric solitons in a dual-core system with Kerr nonlinearity and parity-time (PT)-balanced gain and loss. The crucial issue is stability of the solitons. A stability region is obtained in an analytical form, and verified by simulations, for the PT-symmetric solitons. For the antisymmetric ones, the stability border is found in a numerical form. Moving solitons of both types collide elastically. The two soliton species merge into one in the "supersymmetric" case, with equal coefficients of gain, loss, and intercore coupling. These solitons feature a subexponential instability, which may be suppressed by periodic switching ("management").
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Cites
Observation of parity–time symmetry in optics
Rüter, C. E., Makris, K. G., El-Ganainy, R., Christodoulides, D. N., Segev, M., & Kip, D. (2010) · Nature Physics · doi:10.1038/nphys1515 · Cited by 3,596
Making sense of non-Hermitian Hamiltonians
Bender, C. M. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/6/r03 · Cited by 2,984
Observation ofPT-Symmetry Breaking in Complex Optical Potentials
Guo, A., Salamo, G. J., Duchesne, D., Morandotti, R., Volatier-Ravat, M., Aimez, V., Siviloglou, G. A., & Christodoulides, D. N. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.093902 · Cited by 2,748
Beam Dynamics inPTSymmetric Optical Lattices
Makris, K. G., El-Ganainy, R., Christodoulides, D. N., & Musslimani, Z. H. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.103904 · Cited by 2,064
Theory of coupled optical PT-symmetric structures
El-Ganainy, R., Makris, K. G., Christodoulides, D. N., & Musslimani, Z. H. (2007) · Optics Letters · doi:10.1364/ol.32.002632 · Cited by 1,351
Optical Solitons inPTPeriodic Potentials
Musslimani, Z. H., Makris, K. G., El-Ganainy, R., & Christodoulides, D. N. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.030402 · Cited by 1,339
Solitons in nonlinear lattices
Kartashov, Y. V., Malomed, B. A., & Torner, L. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.247 · Cited by 1,014
Self-citationVisualization of Branch Points inPT-Symmetric Waveguides
Klaiman, S., Günther, U., & Moiseyev, N. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.080402 · Cited by 945
Bloch Oscillations in Complex Crystals withPTSymmetry
Longhi, S. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.123601 · Cited by 737
Unidirectional nonlinearPT-symmetric optical structures
Ramezani, H., Kottos, T., El-Ganainy, R., & Christodoulides, D. N. (2010) · Physical Review A · doi:10.1103/physreva.82.043803 · Cited by 681
Metadata
- Authors
- Driben, R., & Malomed, B. A.
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 2011-11-09
- Volume
- 36
- Issue
- 22
- Pages
- 4323
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W1982737454
- Cited by
- 272
- References
- 20
- FWCI
- 15.81
- Type
- journal article
- Language
- en
- Open access
- green
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