Periodic wavetrains for systems of coupled nonlinear Schrödinger equations

Abstract

Exact, periodic wavetrains for systems of coupled nonlinear Schrodinger 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.