Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung’s Approach
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 .KeyWords: dark-bright solitons; nonlinear Schrodinger equation; Zakharov-Yajima-Oikawa system; Madelung fluid approach; DOI: 10.3842/SIGMA.2011.041Citations: 1data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2019-09-15References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here