  In this work, we propose a telegraph coupled partial differential equation
(TCPDE) based model for image restoration. New framework interpolates between a
couple of non-linear telegraph equation and a parabolic equation. Proposed
strategy can be applied to significantly preserve the oscillatory and texture
pattern in an image, even in low signal-to-noise ratio. First, we prove that
the present model has a unique global weak solution using Banach's fixed point
theorem. Then apply our model over a set of gray-level images to illustrate the
superiority of the proposed model over the recently developed
hyperbolic-parabolic PDE based models as well as coupled diffusion-based model.
