In this study we developed a soliton model of an arterial pulse. The Korteweg-de Vries wave equation is our model of interest. It incorporates the aspect of modeling an arterial pulse which can potentially lead to development of better estimators of cardiac output. Accurate and continuous measurements of cardiac output are needed for severely ill COVID-19 patients but are often done using invasive methods. Another clinical importance is that the solitonic parameters inferred from the pulse could provide a better understanding of the physiology of cardiovascular disease and identify risk indicators in patients with hypertension. The results of this research may be helpful in the timely discovery of life-threatening cardiovascular conditions such as pulmonary embolism, stroke and heart attack in COVID-19 patients.