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CDIFF: A REDUCE PACKAGE FOR COMPUTATIONS IN GEOMETRY OF DIFFERENTIAL EQUATIONS
"... to computations in the geometry of Differential Equations (DEs, for short). The ..."
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to computations in the geometry of Differential Equations (DEs, for short). The
Symmetry condition in terms of Lie brackets
, 2009
"... A passive orthonomic system of PDEs defines a submanifold in the corresponding jet manifold, coordinated by so called parametric derivatives. We restrict the total differential operators and the prolongation of an evolutionary vector field v to this submanifold. We show that the vanishing of their c ..."
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A passive orthonomic system of PDEs defines a submanifold in the corresponding jet manifold, coordinated by so called parametric derivatives. We restrict the total differential operators and the prolongation of an evolutionary vector field v to this submanifold. We show that the vanishing of their commutators is equivalent to v being a generalized symmetry of the system.
NEW SOLUTIONS WITH PEAKON CREATION IN THE CAMASSA–HOLM AND NOVIKOV EQUATIONS
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