KWOK W CHOW and DEREK W C LAI

Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong

Email: kwchow@hkusua.hku.hk

Abstract.

Exact, periodic wavetrains for systems of coupled nonlinear Schrödinger equations are obtained by the Hirota bilinear method and theta functions identities. Both the bright and dark soliton regimes are treated, and the solutions involve products of elliptic functions. The validity of these solutions is verified independently by a computer algebra software. The long wave limit is studied. Physical implications will be assessed.  

Keywords:  Coupled nonlinear Schrödinger equations; periodic solutions.

Pacs Nos.  42.65.Tg; 42.81.Dp; 0.2.30Jr