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The European Physical Journal D

, Volume 61, Issue 3, pp 677–685 | Cite as

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

Article

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.

Keywords

Soliton Solitary Wave Soliton Solution External Potential Jacobian Elliptic Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of PhysicsShanghai Jiao Tong UniversityShanghaiP.R. China
  2. 2.Faculty of Science, Ningbo UniversityNingboP.R. China
  3. 3.Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität BochumBochumGermany
  4. 4.School of Physics, University of KwaZulu-NatalDurbanSouth Africa

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