Olver, Peter J. Applications of Lie groups to differential equations. Paperback ed. (English) Zbl 0937.58026 Graduate Texts in Mathematics. 107. New York, NY: Springer. xxviii, 513 p. (2000). Paperback ed. of the 2nd Springer-Verlag edition (1993; Zbl 0785.58003). The first Springer-Verlag edition from 1986 was thoroughly reviewed in Zbl 0588.22001. Cited in 4 ReviewsCited in 245 Documents MSC: 58J70 Invariance and symmetry properties for PDEs on manifolds 58-02 Research exposition (monographs, survey articles) pertaining to global analysis 58J40 Pseudodifferential and Fourier integral operators on manifolds 22E70 Applications of Lie groups to the sciences; explicit representations 22-02 Research exposition (monographs, survey articles) pertaining to topological groups 35Q53 KdV equations (Korteweg-de Vries equations) 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35K05 Heat equation 37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010) Keywords:finite-dimensional Hamiltonian systems; evolution equations; symmetry groups; conservation laws; Lie groups Citations:Zbl 0785.58003; Zbl 0588.22001 × Cite Format Result Cite Review PDF