“…These equations, along with equation for b 1 μ , form a closed set (along with appropriate boundary conditions) and have been analyzed and modeled by many authors over the last four decades (Allan & Knox, ; Allan & Poulter, ; Degeling & Rankin, ; Degeling et al, , ; Hasegawa & Chen, ; Lee, ; Lee & Lysak, ; Lysak et al, ; Rankin et al, ; Walker, ). The formalism for the wave model presented here is an extension of the approach taken by Rankin and coauthors in a number of previous works (Frycz et al, ; Rankin et al, , ; Wang et al, ).…”