Travelling solitons in the parametrically driven nonlinear Schroedinger equation

Details Travelling solitons in the parametrically driven nonlinear Schroedinger equation Travelling solitons in the parametrically driven nonlinear Schroedinger equation

2000-10-04

arxiv.org/abs/nlin/0010008v3

Nonlinear Sciences

Pattern Formation and Solitons

The paper is available as the JINR preprint E17-2000-147(Dubna, Russia) and the preprint of the Max-Planck Institute for the C

Scientific paper

10.1103/PhysRevE.64.016603

We show that the parametrically driven nonlinear Schroedinger equation has
wide classes of travelling soliton solutions, some of which are stable. For
small driving strengths nonpropogating and moving solitons co-exist while
strongly forced solitons can only be stably when moving sufficiently fast.

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