Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach
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| Creator |
Visinescu, A.
Grecu, D. Fedele, R. De Nicola, S. |
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| Description |
Using the multiple scales method, the interaction between two bright and one dark solitons is studied. Provided that a long wave-short wave resonance condition is satisfied, the two-component Zakharov-Yajima-Oikawa (ZYO) completely integrable system is obtained. By using a Madelung fluid description, the one-soliton solutions of the corresponding ZYO system are determined. Furthermore, a discussion on the interaction between one bright and two dark solitons is presented. In particular, this problem is reduced to solve a one-component ZYO system in the resonance conditions.
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| Date |
2019-02-11T17:23:53Z
2019-02-11T17:23:53Z 2011 |
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| Type |
Article
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| Identifier |
Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach / A. Visinescu, D. Grecu, R. Fedele, S. De Nicola // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 35 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35Q55; 37K10; 45G15 DOI:10.3842/SIGMA.2011.041 http://dspace.nbuv.gov.ua/handle/123456789/146858 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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