Isovectors and similarity solutions for nonlinear reaction-diffusion equations (Q1115292)

Nonlinear reaction-diffusion equations are expressed by means of a closed ideal of exterior differential forms over an 8-dimensional manifold. The components of the isovector field associated with the system are constructed by using its transport property under Lie derivatives. The similarity solutions which are invariant under the corresponding symmetry group are obtained for fairly general cases and the system is reduced to coupled nonlinear ordinary differential equations.