The classical group analysis approach used to study the symmetries of integro-differential equations in a semiclassical approximation is considered for a class of nearly linear integro-differential equations. In a semiclassical approximation, an original integro-differential equation leads to a finite consistent system of differential equations whose symmetries can be calculated by performing standard group analysis.The approach is illustrated by the calculation of the Lie symmetries in explicit form for a special case of the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov population equation.
- Fisher-Kolmogorov-Petrovskii-Piskunov equation
- Integro-differential equation
- Lie symmetries
- Nearly linear equation
- Semiclassical approximation
ASJC Scopus subject areas
- Applied Mathematics