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Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)

100%

Zhang J., Zhang C., Cui Y.

Open Mathematics

2017

tom 15

nr 1

203-217

In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated with SO(4) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi-integrable and tri-integrable couplings are constructed by the variational identities.

A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence

84%

Morozov O.

Open Mathematics

2014

tom 12

nr 2

271-283

We apply Cartan’s method of equivalence to find a Bäcklund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion operator for symmetries of this equation.

Ograniczanie wyników

2 Open Mathematics

1 Cui Y.

1 Morozov O.

1 Zhang C.

1 Zhang J.

1 2017

1 2014

Wyniki wyszukiwania

Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)

A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence