A solitary kinetic Alfven wave (SKAW) with a finite ion gyroradius is
obtained by using kinetic theory. It is found that the existence of SK
AW depends not only on the parallel wave number but also on the perpen
dicular wave number. In contrast to the results with cold ions, both t
he super-Alfvenic and the sub-Alfvenic solitons exist in the density c
ompressive region. The amplitude and the parallel propagation velocity
of the solitons are found to be enhanced,while the width is narrowed
due to the finite ion gyrodius effect. (C) 1998 American Institute of
Physics. [S1070-664X(98)00609-0]