  In graphene, where the electron-electron scattering is dominant, electrons
collectively act as a fluid. This hydrodynamic behaviour of charge carriers
leads to exciting nonlinear phenomena such as solitary waves and shocks, among
others. In the future, such waves might be exploited on plasmonic devices,
either for modulation or signal propagation along graphene waveguides. We study
the nature of nonlinear perturbations by performing the reductive perturbation
method on the hydrodynamic description of graphene electrons, taking into
consideration the effect of Bohm quantum potential and odd viscosity. Thus,
deriving a dissipative Kadomtsev-Petviashvili equation for the bidimensional
flow as well as its unidimensional limit in the form of Korteweg-de
Vries-Burgers. The stability analysis of these equations unveils the existence
of unstable modes that can be excited and launched through graphene plasmonic
devices.
