  It is well known that k-contact geometry is a suitable framework to deal with
non-conservative field theories. In this paper, we study some relations between
solutions of the k-contact Euler-Lagrange equations, symmetries, dissipation
laws and Newtonoid vector fields. We review the k-contact Euler-Lagrange
equations written in terms of k-vector fields and sections and provide new
results relating the solutions in both approaches. We also study different kind
of symmetries depending on the structures they preserve: natural (preserving
the Lagrangian function), dynamical (preserving the solutions), and k-contact
(preserving the underlying geometric structures) symmetries. For some of these
symmetries, we provide Noether-like theorems relating symmetries and
dissipation laws. We also analyse the relation between k-contact symmetries and
Newtonoid vector fields. Throughout the paper, we will use the damped vibrating
string as our main illustrative example.
