[HTML][HTML] A Korteweg–de Vries description of dark solitons in polariton superfluids

R Carretero-Gonz�lez, J Cuevas-Maraver…�- Physics Letters A, 2017 - Elsevier
We study the dynamics of dark solitons in an incoherently pumped exciton–polariton
condensate by means of a system composed of a generalized open-dissipative Gross–
Pitaevskii equation for the polaritons' wavefunction and a rate equation for the exciton
reservoir density. Considering a perturbative regime of sufficiently small reservoir
excitations, we use the reductive perturbation method, to reduce the system to a Korteweg–
de Vries (KdV) equation with linear loss. This model is used to describe the analytical form�…