Shifted nonlocal Kundu type equations: Soliton solutions
We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems. We obtain one- and two-soliton solutions of these systems and their shifted nonlocal reductions by t...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000183 |
| _version_ | 1818204851765510144 |
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| author | Aslı Pekcan |
| author_facet | Aslı Pekcan |
| author_sort | Aslı Pekcan |
| collection | DOAJ |
| description | We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems. We obtain one- and two-soliton solutions of these systems and their shifted nonlocal reductions by the Hirota bilinear method. We present particular examples for one- and two-soliton solutions of the reduced shifted nonlocal Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell equations. |
| first_indexed | 2024-12-12T03:47:49Z |
| format | Article |
| id | doaj.art-56cf7b27599a4e8da43db6a9b5ef6cd8 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-12-12T03:47:49Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-56cf7b27599a4e8da43db6a9b5ef6cd82022-12-22T00:39:29ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-06-015100292Shifted nonlocal Kundu type equations: Soliton solutionsAslı Pekcan0Department of Mathematics, Faculty of Science, Hacettepe University, 06800 Ankara, TurkeyWe study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems. We obtain one- and two-soliton solutions of these systems and their shifted nonlocal reductions by the Hirota bilinear method. We present particular examples for one- and two-soliton solutions of the reduced shifted nonlocal Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell equations.http://www.sciencedirect.com/science/article/pii/S2666818122000183Kundu type equationsShifted nonlocal reductionsHirota bilinear methodSoliton solutions |
| spellingShingle | Aslı Pekcan Shifted nonlocal Kundu type equations: Soliton solutions Partial Differential Equations in Applied Mathematics Kundu type equations Shifted nonlocal reductions Hirota bilinear method Soliton solutions |
| title | Shifted nonlocal Kundu type equations: Soliton solutions |
| title_full | Shifted nonlocal Kundu type equations: Soliton solutions |
| title_fullStr | Shifted nonlocal Kundu type equations: Soliton solutions |
| title_full_unstemmed | Shifted nonlocal Kundu type equations: Soliton solutions |
| title_short | Shifted nonlocal Kundu type equations: Soliton solutions |
| title_sort | shifted nonlocal kundu type equations soliton solutions |
| topic | Kundu type equations Shifted nonlocal reductions Hirota bilinear method Soliton solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2666818122000183 |
| work_keys_str_mv | AT aslıpekcan shiftednonlocalkundutypeequationssolitonsolutions |