Reductive perturbation method for quasi one-dimensional nonlinear wave propagation. II: Applications to magnetosonic waves (Q1180987)

The authors consider the two-fluid magnetohydrodynamic equations for an isothermal hydrogen plasma. They consider the generic theory developed in part I by \textit{T. Taniuti} [Wave Motion 12, No. 4, 373--383 (1990; Zbl 0735.35107); Pitman Monogr. Surv. Pure Appl. Math. 43, 196--204 (1989; Zbl 0689.35084)] for reduction to the three-dimensional Kadomtsev-Petviashvili equation [\textit{B. B. Kadomtsev} and \textit{V. I. Petviashvili}, Sov. Phys., Dokl. 15, 539--541 (1970); translation from Dokl. Akad. Nauk SSSR 192, 753--756 (1970; Zbl 0217.25004)]. Stability conditions of fast and slow magnetosonic solitons for transverse slow modulations are obtained. The paper also contains many physical interpretations.