EXTENDED FISHER-KOLMOGOROV EQUATION WITH SINGULARITIES IN THE COMPLEX DOMAIN

In the article, the extended nonlinear differential Fisher-Kolmogorov equation in the complex domain is considered. Its stationary solutions are investigated for existence of a movable singular point of the algebraic type. The theorem of the existence of a movable singular point, and uniqueness of a solution in the neighborhood of such a point is proved. An analytical approximate solution is constructed, and the error of the found solution is estimated in analytical form, its numerical study is carried out. The absence of such a singular point in the real domain is demonstrated. A special approach for optimizing the error is proposed.