Within this paper, we embark on a theoretical exploration of ion acoustic kinetic Alfven (IAKA) solitary wave propagation within magnetized plasma, drawing on fundamental equations as our foundation. Notably, we consider the presence of two distinct temperature electron components. Employing the standard reductive perturbation method, we derive the Korteweg-de Vries (KdV) equation, a quintessential component of our analytical framework. Employing numerical techniques, we meticulously examine the interplay of diverse plasma parameters and their impact on the inherent characteristics of IAKA solitary waves. This inquiry extends further to the discovery that specific parameters hold the capacity to modulate the patterns and dynamics of kinetic Alfven soliton energy, a pivotal insight into the behavior of these intricate waveforms.