  This work is concerned with the study of explicit solutions for generalized
coupled reaction-diffusion and Burgers-type systems with variable coefficients.
Including nonlinear models with variable coefficients such as diffusive
Lotka-Volterra model, the Gray-Scott model, the Burgers equations. The
equations' integrability (via the explicit formulation of the solutions) is
accomplished by using similarity transformations and requiring that the
coefficients fulfill a Riccati system. We present traveling wave type
solutions, as well as solutions with more complex dynamics and relevant
features such as bending. A Mathematica file has been prepared as supplementary
material, verifying the Riccati systems used in the construction of the
solutions.
