MathDB3 problems
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Projective reciprocal invariance of second-order homogeneous Hamiltonian operators and associated systems
A second-order homogeneous Hamiltonian operator is a homogeneous Hamiltonian operator of differential order two, and an associated hydrodynamic type system is the hydrodynamic type…
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Reciprocal-transformation preservation of bihamiltonianity for dispersive deformations
Let a bihamiltonian evolutionary equation be an … -deformations is conjectured here.
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Reciprocal invariance conjecture for local Hamiltonian structures
Reciprocal invariance conjecture. For a general Hamiltonian system, respectively bihamiltonian system, with dispersion terms, the transformation above preserves the locality proper…