β Scribed by B. Flach
No coin nor oath required. For personal study only.
Within the framework of jet manifolds, we show that the symmetries of nonlinear partial evolution equations in arbitrary dimensions are linear in the leading orders. A necessary condition for the existence of an infinite-dimensional symmetry algebra for a given equation is derived. As an example, the results for a class of nonlinear diffusion equations in ( 1 + 2) dimensions are given.
π SIMILAR VOLUMES
## Abstract The complete symmetry group of a 1 + 1 evolution equation has been demonstrated to be represented by the sixβdimensional Lie algebra of point symmetries __sl__(2, __R__) β~__s__~__W__, where __W__ is the threeβdimensional HeisenbergβWeyl algebra. We construct a complete symmetry group o
Ireland (see application form in this issue) Nature of physicalproblem Find the symmetries of the given evolution equation: This is Computer: HITAC M-200H important because it enables us to know the qualitative nature of the equation and leads to physical insight. Operating system: VOS 3 Restriction