Localized waves in a general coupled nonlinear Schrödinger equation

Serge Paulin T. Mukam; Victor K. Kuetche; Thomas B. Bouetou

doi:10.1140/epjp/i2017-11470-4

EPJ

Localized waves in a general coupled nonlinear Schrödinger equation

Serge Paulin T. Mukam¹^,2^*, Victor K. Kuetche¹^,2^,3^,4 and Thomas B. Bouetou¹^,2^,3^,4

¹ National Advanced School of Engineering, University of Yaounde I, P.O. Box. 8390, Yaounde, Cameroon
² Laboratory of Mechanics, Materials and Structures, Department of Physics, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
³ Centre d’Excellence en Technologies de l’Information et de la Communication (CETIC), University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
⁴ The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera, 11-I-34151, Trieste, Italy

Received: 26 January 2017
Accepted: 28 March 2017
Published online: 25 April 2017

Abstract

In this work, we deal with a nonlinear Schrödinger system which can describe a wide variety of physical processes. By means of the Darboux transformation, we provide analytical solution to the previous system. We show the interactions between rogue waves and dark-bright soliton and the interactions between rogue wave and breather. From the investigation there results that all the interactions are elastic.

International Conference "Dynamics of Systems on the Nanoscale" (DySoN 2020)
23-27 November 2022
Santa Margherita Ligure, Italy

EPJ

Localized waves in a general coupled nonlinear Schrödinger equation

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