Semiclassical approximation for the nonlocal multidimensionalfisher-kolmogorov-petrovskii-piskunov equation

Semiclassical asymptotic solutions with accuracy $O(DN/2), N \ge 3$ are constructed for the multi-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation in the class of trajectory-concentrated functions. Using the symmetry operators a countable set of asymptotic solutions with accuracy $O(D^{3/2})$ is obtained. Asymptotic solutions of two-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation are found in explicit form.