Keywordssymmetry; adjoint symmetry; conservation law; invariant geometric flow; Bäcklund transformation; integrable system; differential invariant; Lie symmetry; Q-conditional symmetry; nonlinear boundary-value problem; nonlinear diffusion; exact solution; Keller–Segel model; Lie symmetry; Neumann boundary-value problem; exact solution; conformal invariance; conformal Galilean algebra; Boltzmann equation; Lie group analysis; Jacobi last multiplier; Lagrangians; Noether’s theorem; Easter Island population; real representation; matrix element; tensor product; nonlocal symmetries; potential symmetries; formulae of nonlocal superposition; formulae for generation of solutions; generalized hodograph transformation; Lie algebra; nilpotence; quasi-filiform algebra; Maple; Burgers equation; integrability; Schrödinger equation; Madelung fluid; Lie group method; Burgers’ Equation; Burgers’–KdV Equation; KdV Equation; Q-conditional symmetry; reaction–diffusion systems; exact solution; Lotka–Volterra system; equivalence transformations; groups of transformations; classical symmetries; biomathematical models; nonlinear PDEs; lie symmetry; conformal Galilei algebras; Schrödinger algebra; conformal Galilei algebra; ageing algebra; representations; causality; parabolic sub-algebra; holography; physical ageing
