Modified K-dV theory of non-monotonic double layer in a weak relativistic plasma

The analytic solution for the time stationary non-monotonic double layer in a weak relativistic plasma is presented. This solution is the analytic ext ension of the monotonic double layer and the solitary hole. We have derived the modified Kortewegde Vries (mK-dV) equation in a plasma, taking account of weakly relativistic effects. Solving this equation of non-monotonic dou ble layer in a weak relativistic plasma, we have found that there is relati on among the amplitude, the inverse scale length and the relativistic effec ts. (C) 2001 Elsevier Science B.V. All rights reserved.