Approximate Q-conditional symmetries of partial differential equations

Abstract

Following a recently introduced approach to approximate Lie symmetries of differential equations which is consistent with the principles of perturbative analysis of differential equations containing small terms, we analyze the case of approximate $Q$--conditional symmetries. An application of the method to a hyperbolic variant of a reaction--diffusion--convection equation is presented.

24 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:2105.05584, arXiv:2105.11534, arXiv:2108.01078

References in corpus (2)

• Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives
• Approximately invariant solutions of creeping flow equations