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- Publisher Website: 10.1103/PhysRevE.106.L042201
- Scopus: eid_2-s2.0-85140143280
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Article: New solutions to the complex Ginzburg-Landau equations
| Title | New solutions to the complex Ginzburg-Landau equations |
|---|---|
| Authors | |
| Issue Date | 7-Oct-2022 |
| Publisher | American Physical Society |
| Citation | Physical Review E, 2022, v. 106, n. 4 How to Cite? |
| Abstract | The various regimes observed in the one-dimensional complex Ginzburg-Landau equation result from the interaction of a very small number of elementary patterns such as pulses, fronts, shocks, holes, and sinks. Here we provide three exact such patterns observed in numerical calculations but never found analytically. One is a quintic case localized homoclinic defect, observed by Popp et al. [S. Popp et al., Phys. Rev. Lett. 70, 3880 (1993)], and the two others are bound states of two quintic dark solitons, observed by Afanasyev et al. [V. V. Afanasyev et al., Phys. Rev. E 57, 1088 (1998)]. |
| Persistent Identifier | http://hdl.handle.net/10722/331970 |
| ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 0.805 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Conte, R | - |
| dc.contributor.author | Musette, M | - |
| dc.contributor.author | Ng, TW | - |
| dc.contributor.author | Wu, CF | - |
| dc.date.accessioned | 2023-09-28T04:59:57Z | - |
| dc.date.available | 2023-09-28T04:59:57Z | - |
| dc.date.issued | 2022-10-07 | - |
| dc.identifier.citation | Physical Review E, 2022, v. 106, n. 4 | - |
| dc.identifier.issn | 2470-0045 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/331970 | - |
| dc.description.abstract | <p>The various regimes observed in the one-dimensional complex Ginzburg-Landau equation result from the interaction of a very small number of elementary patterns such as pulses, fronts, shocks, holes, and sinks. Here we provide three exact such patterns observed in numerical calculations but never found analytically. One is a quintic case localized homoclinic defect, observed by Popp <em>et al.</em> [S. Popp <em>et al.</em>, <a href="http://dx.doi.org/10.1103/PhysRevLett.70.3880">Phys. Rev. Lett. 70, 3880 (1993)</a>], and the two others are bound states of two quintic dark solitons, observed by Afanasyev <em>et al.</em> [V. V. Afanasyev <em>et al.</em>, <a href="http://dx.doi.org/10.1103/PhysRevE.57.1088">Phys. Rev. E 57, 1088 (1998)</a>].</p> | - |
| dc.language | eng | - |
| dc.publisher | American Physical Society | - |
| dc.relation.ispartof | Physical Review E | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.title | New solutions to the complex Ginzburg-Landau equations | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1103/PhysRevE.106.L042201 | - |
| dc.identifier.scopus | eid_2-s2.0-85140143280 | - |
| dc.identifier.volume | 106 | - |
| dc.identifier.issue | 4 | - |
| dc.identifier.eissn | 2470-0053 | - |
| dc.identifier.isi | WOS:000867641500001 | - |
| dc.identifier.issnl | 2470-0045 | - |