Yilmaz, H. (2022) Darboux transformation for the Hirota equation. Journal of Mathematical Physics, Analysis, Geometry, 18(1), pp. 136-152. (doi: 10.15407/mag18.01.136)
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Publisher's URL: https://jmag.ilt.kharkov.ua/join.php?fn=/jmag/pdf/18/jm18-0136e.pdf
Abstract
The Hirota equation is an integrable higher order nonlinear Schr ̀ˆodinger type equation which describes the propagation of ultrashort light pulses in optical fibers. We present a standard Darboux transformation for the Hirota equation and then construct its quasideterminant solutions. As examples, the multi-soliton, breather and rogue wave solutions of the Hirota equation are given explicitly.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Yilmaz, Dr Halis |
| Authors: | Yilmaz, H. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Mathematical Physics, Analysis, Geometry |
| Publisher: | National Academy of Sciences of Ukraine, B.Verkin Institute for Low Temperature Physics and Engineering |
| ISSN: | 1812-9471 |
| ISSN (Online): | 1817-5805 |
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