Eur. Phys. J. D 61, 677-685 (2011)
https://doi.org/10.1140/epjd/e2010-09660-y

Vector solitons of a one-dimensional spatially inhomogeneous coupled nonlinear Schrödinger equation with a double well potential

¹ Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, P.R. China
² Faculty of Science, Ningbo University, Ningbo, 315211, P.R. China
³ Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, 44870 Bochum, Germany
⁴ School of Physics, University of KwaZulu-Natal, 4000 Durban, South Africa

Corresponding author: ^a xytang@sjtu.edu.cn

Received: 28 December 2009
Revised: 30 June 2010
Published online: 3 December 2010

Abstract

Vector soliton solutions of a coupled nonlinear Schrödinger equation with spatially inhomogeneous nonlinearities and a double well potential are studied. A type of non-auto-Bäcklund transformations is established to cast the investigated system to a couple of constant coefficient NLS equations under general conditions associating the inhomogeneous nonlinearities with the external potential. It is seen that the judicious choice of the inhomogeneous nonlinear interactions and the external potential is critical in the transformation work. In detail, three types of vector solitons are explicitly presented, and their structures and stability properties are also discussed.