Eur. Phys. J. Plus (2017) 132: 182
https://doi.org/10.1140/epjp/i2017-11470-4

Regular Article

Localized waves in a general coupled nonlinear Schrödinger equation

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

^* e-mail: spmukam@gmail.com

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.