Some symmetries of the nonlinear heat and wave equations
β Scribed by Alexander Oron; Philip Rosenau
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 311 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0375-9601
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## 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
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, th