Travelling solitons in the parametrically driven nonlinear Schroedinger equation
classification
🌊 nlin.PS
keywords
solitonsdrivenequationmovingnonlinearparametricallyschroedingertravelling
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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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