  The consistent chiral kinetic theory accurate to the second order in
electromagnetic and pseudoelectromagnetic fields is derived for a relativistic
matter with two Weyl fermions. By making use of such a framework, the
properties of longitudinal collective excitations, which include both chiral
magnetic and chiral pseudomagnetic waves, are studied. It is shown that the
proper treatment of dynamical electromagnetism transforms these gapless waves
into chiral (pseudo)magnetic plasmons, whose Langmuir (plasma) gap receives
corrections quadratic in both magnetic and pseudomagnetic fields.
