Oblique Nonlinear Hydromagnetic Waves in a Collision-Free Plasma with Isothermal Electron Pressure

抄録

Hydromagnetic waves of small but finite amplitude propagating at an arbitrary angle to a magnetic field in a collision-free plasma with isothermal electron pressure are investigated on the basis of a nonlinear perturbation method.
It is shown that in the lowest order of perturbation the system of the basic equations can be reduced to two types of the Korteweg-de Vries equations which describe the fast and slow magneto-acoustic waves. Another nonlinear dispersive equation can be obtained for the Alfvén wave. The effect of the isothermal electron pressure on the structure of the waves is discussed in detail. Necessary conditions for the existence of the solitary waves in the plasma under consideration are also given.