A class of nonlinear symmetry operators has been constructed for the many-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation quadratic in independent variables and derivatives. The construction of each symmetry operator includes an interwining operator for the auxiliary linear equations and additional nonlinear algebraic conditions. Symmetry operators for the one-dimensional equation with a constant influence function have been constructed in explicit form and used to obtain a countable set of exact solutions.
- interwining operator
- nonlinear symmetry operator
- nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation
ASJC Scopus subject areas
- Physics and Astronomy(all)