WAVE TRAINS PROPAGATING AT AN ANGLE TO A MAGNETIC FIELD IN A COLLISIONLESS PLASMA

Non-linear periodic waves propagating at an angle to a magnetic field in a collisionless plasma are studied on the basis of the so-called two-fluid plasma equations. The phenomena to be investigated are assumed to have a length scale of the ion Larmor radius, so that the electron mass may be neglected. The analysis is developed at first for a cold plasma, and then for the plasma with the adiabatic exponent γi =γe =2. In the former case, the solution is expressed in terms of the elliptic integrals in Weierstrass' normal form. The solitary wave solutions are found for the limiting case that the periodicity is infinite. © 1969, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.