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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 041, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.041 (Mi sigma599) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Periodic and Solitary Wave Solutions of Two Component Zakharov–Yajima–Oikawa System, Using Madelung's Approach

Anca Visinescua, Dan Grecua, Renato Fedelebc, Sergio De Nicolad

a Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering, Bucharest, Romania
b Dipartimento di Scienze Fisiche, Universita Federico II
c INFN Sezione di Napoli, Napoli, Italy
d Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche, Pozuolli, (Na), Italy
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DOI: https://doi.org/10.3842/SIGMA.2011.041
Abstract: 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.
Keywords: dark-bright solitons; nonlinear Schrödinger equation; Zakharov–Yajima–Oikawa system; Madelung fluid approach.
Received: February 10, 2011; in final form April 19, 2011; Published online April 23, 2011
Bibliographic databases:
Document Type: Article
MSC: 35Q55; 37K10; 45G15
Language: English
Citation: Anca Visinescu, Dan Grecu, Renato Fedele, Sergio De Nicola, “Periodic and Solitary Wave Solutions of Two Component Zakharov–Yajima–Oikawa System, Using Madelung's Approach”, SIGMA, 7 (2011), 041, 11 pp.
Citation in format AMSBIB
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\by Anca Visinescu, Dan Grecu, Renato Fedele, Sergio De Nicola
\paper Periodic and Solitary Wave Solutions of Two Component Zakharov--Yajima--Oikawa System, Using Madelung's Approach
\jour SIGMA
\yr 2011
\vol 7
\papernumber 041
\totalpages 11
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