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Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities
Open accessAbstract
Using similarity transformations we construct explicit nontrivial solutions of nonlinear Schrödinger equations with potentials and nonlinearities depending both on time and on the spatial coordinates. We present the general theory and use it to calculate explicitly nontrivial solutions such as periodic (breathers), resonant, or quasiperiodically oscillating solitons. Some implications to the field of matter waves are also discussed.
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Cites
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
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Optical solitons : from fibers to photonic crystals
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Tuning the Scattering Length with an Optically Induced Feshbach Resonance
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Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
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Cited by
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
Metadata
- Authors
- Belmonte-Beitia, J., Pérez-García, V. M., Vekslerchik, V., & Konotop, V. V.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-04-25
- Volume
- 100
- Issue
- 16
- Pages
- 164102-164102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2067964475
- Cited by
- 296
- References
- 16
- FWCI
- 19.90
- Type
- journal article
- Language
- en
- Open access
- green
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- Belmonte-Beitia, J., Pérez-García, V. M., Vekslerchik, V., & Konotop, V. V. (2008). Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.164102
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