Employing the two-fluid model, a generalized Sagdeev equation governin
g solitary kinetic Alfven waves (SKAWs) and the criterion for the exis
tence of SKAWs, which are valid for different ranges of plasma pressur
e parameter beta, are presented. In the limit cases of beta much great
er than m(e)/m(i) and beta much less than m(e)/m(i), the present resul
ts correspond, respectively, with conclusions obtained by Hasegawa ct
al. [Phys. Rev. Lett. 37, 690 (1976)] and by Shukla et al. [J. Plasma
Phys. 28, 125 (1982)], that is, SKAWs accompanied by, respectively, hu
mp and dip density solitons for beta much greater than m(e)/m(i) and b
eta much less than m(e)/m(i). However, for the case of beta similar to
m(e)/m(i), the present results show that SKAWs accompanied by both hu
mp and dip density solitons are possible, and lead to KdV solitons in
the small amplitude limit. In addition, the possibility for applying t
hese results to electromagnetic spikes observed by the Freja scientifi
c satellite is discussed [detailed information about the Freja satelli
te experiments can be found in serial papers presented in Space Sci. R
ev. 70, Nos. 3/4 (1994)]. (C) 1996 American Institute of Physics.