Dissipative nonlinear waves in a gravitating quantum fluid
Quantum Gases
2017-03-27 v1 Quantum Physics
Abstract
Nonlinear wave propagation is studied analytically in a dissipative, self-gravitating Bose Einstein condensate, in the framework of Gross-Pitaevskii model. The linear dispersion relation shows that the effect of dissipation is to suppress dynamical instabilities that destabilize the system. The small amplitude analysis using reductive perturbation technique is found to yield a modified form of KdV equation. The soliton energy, amplitude and velocity are found to decay with time, whereas the soliton width increases, such that the soliton exists for a finite time only
Keywords
Cite
@article{arxiv.1703.08174,
title = {Dissipative nonlinear waves in a gravitating quantum fluid},
author = {Biswajit Sahu and Anjana Sinha and R. Roychoudhury},
journal= {arXiv preprint arXiv:1703.08174},
year = {2017}
}
Comments
7 pages, 5 figures