摘要
Recently, to save the current drive power and to obtain more favorable confinement merit for a tokamak reactor, large fraction of bootstrap current sustained equilibrium has attracted great interests both theoretically and experimentally. We use an powerful expanding technique and the tokamak ordering to expand the GSh-E to obtain a series of ordinary differential equations which allow for different sets of input profiles. The fully bootstrap current sustained tokamak equilibria are then solved analytically.