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

Symmetry Integrability and Geometry-Methods and Applications

article

Anca Visinescu¹  Dan Grecu¹  Renato Fedele²  Sergio De Nicola³ 

[1] Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering;Dipartimento di Scienze Fisiche;Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche

关键词: dark-bright solitons;    nonlinear Schr¨odinger equation;    Zakharov–Yajima–Oikawa system;    Madelung fluid approach;   

DOI  :  10.3842/SIGMA.2011.041

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown