Scientific Results

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

Year: 2011

Authors: Visinescu A., Grecu D., Fedele R., De Nicola S.

Autors Affiliation: Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering, Bucharest, Romania;
Dipartimento di Scienze Fisiche, Universita Federico II and INFN Sezione di Napoli, Napoli, Italy;
CNR – Istituto Nazionale di Ottica, Pozzuoli, (Na), Italy

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.

Journal/Review: SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Volume: 7      Pages from: 041  to: 041

More Information: Support through CNCSIS program IDEI-571/2008 is acknowledged. The authors are indebted to an anonymous referee for drawing their attention to the paper [26].
KeyWords: dark-bright solitons; nonlinear Schrodinger equation; Zakharov-Yajima-Oikawa system; Madelung fluid approach;
DOI: 10.3842/SIGMA.2011.041

Citations: 1
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