Localized pulses for the quintic derivative nonlinear Schrödinger equation on a continuous-wave background
Authors:
Open Access
- 17 September 2012
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 86 (3) , 037601
Abstract
Quintic derivative nonlinear Schr\"odinger equations arise in various physical contexts, notably in the study of hydrodynamic wave packets and media with negative refractive index. A procedure to isolate propagating wave patterns in such nonlinear Schr\"odinger equations is proposed which is based on two integrals of motion. As an illustration of the method, a ``gray'' solitary pulse, a ``dark'' localized mode with nonzero minimum in intensity on a continuous-wave background is identified.Keywords
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