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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
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
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.
Linking options:
https://www.mathnet.ru/eng/sigma599 https://www.mathnet.ru/eng/sigma/v7/p41
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