Nonlinear lower hybrid oscillations in a cold viscous plasma

An analytical description of nonlinear lower hybrid oscillations in a cold quasi-neutral plasma in the presence of viscosity is presented in one spatial dimension by using Lagrangian variables. By treating viscosity coefficients of the electron and ion fluids as inversely proportional to their respective densities, an exact solution is obtained. It is found that the damping rate of such oscillations is directly proportional to the effective viscosity coefficients of electron and ion fluids. A possible implication of such solutions is briefly outlined.