Asymptotic Analysis of Nonlinear Resonance Interaction of Capillary Waves of Arbitrary Symmetry on Moving Charged Jet at Multimode Initial Deformation

The problem of research a nonlinear resonance between capillary waves on surface the charged jet at multimode initial deformation moving regarding material environment is considered. It shown in analytical asymptotic calculations second order dimensionless amplitude oscillations that an internal resonant interaction any symmetry, both degenerate and secondary combinational, takes place. Positions resonances depend physical parameters system: values coefficient tension radial electric field jet, velocity its movement environment, wave azimuthal numbers interacting waves, range defining deformation.