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Group-Invariant Solutions of Differential Equations
Author(s) -
Peter J. Olver,
Philip Rosenau
Publication year - 1987
Publication title -
siam journal on applied mathematics
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.954
H-Index - 99
eISSN - 1095-712X
pISSN - 0036-1399
DOI - 10.1137/0147018
Subject(s) - mathematics , separable partial differential equation , invariant (physics) , partial differential equation , group (periodic table) , numerical partial differential equations , differential equation , mathematical analysis , symmetry group , first order partial differential equation , stochastic partial differential equation , pure mathematics , mathematical physics , differential algebraic equation , ordinary differential equation , physics , geometry , quantum mechanics
We introduce the concept of a weak symmetry group of a system of partial differential equations, that generalizes the “nonclassical” method introduced by Bluman and Cole for finding group-invariant...

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