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Found 27 Documents (Results 1–27)

Structure of binary transformations of Darboux type and their application to soliton theory. (Ukrainian, English) Zbl 1076.37525

Ukr. Mat. Zh. 55, No. 12, 1704-1719 (2003); translation in Ukr. Math. J. 55, No. 12, 2041-2059 (2003).
MSC:  37K10 37K40 35Q51
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Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable Hamiltonian systems. II. (English. Ukrainian original) Zbl 0972.37049

Ukr. Math. J. 51, No. 11, 1713-1728 (1999); translation from Ukr. Mat. Zh. 51, No. 11, 1513-1528 (1999).
MSC:  37K10 37K50 37J20
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Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable Hamiltonian systems. I. (English. Ukrainian original) Zbl 0972.37048

Ukr. Math. J. 51, No. 10, 1556-1568 (1999); translation from Ukr. Mat. Zh. 51, No. 10, 1379-1390 (1999).
MSC:  37K10 37K50 37J20
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Hierarchy of the Kadomtsev-Petviashvili equations under nonlocal constraints: Many-dimensional generalizations and exact solutions of reduced systems. (English. Ukrainian original) Zbl 0935.37035

Ukr. Math. J. 51, No. 1, 86-106 (1999); translation from Ukr. Mat. Zh. 51, No. 1, 78-97 (1999).
MSC:  37K10 81T10
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Jacobi polynomials and Lax representation for completely integrable dynamical systems. (English. Russian original) Zbl 0866.35106

Ukr. Math. J. 46, No. 8, 1198-1201 (1994); translation from Ukr. Mat. Zh. 46, No. 8, 1088-1091 (1994).
MSC:  35Q53 37J35 37K10
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Matrix solutions of the equation \({\mathfrak B}U_ t = -U_{xx} + 2U^ 3 + {\mathfrak B}[U_ x,U] + 4cU\): Extension of the inverse scattering method. (English. Ukrainian original) Zbl 0784.35109

Ukr. Math. J. 44, No. 9, 1156-1166 (1992); translation from Ukr. Mat. Zh. 44, No. 9, 1264-1275 (1992).
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Category of topological jet-manifolds and certain applications in the theory of nonlinear infinite-dimensional dynamical systems. (English. Ukrainian original) Zbl 0783.58006

Ukr. Math. J. 44, No. 9, 1136-1148 (1992); translation from Ukr. Mat. Zh. 44, No. 9, 1242-1256 (1992).
Reviewer: A.Klíč (Praha)
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