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The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions. (English. Russian original) Zbl 07483559

Theor. Math. Phys. 210, No. 1, 8-30 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 11-37 (2022).
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On the number of linearly independent solutions of the Riemann boundary value problem on the Riemann surface of an algebraic function. (English. Russian original) Zbl 1483.30076

Russ. Math. 65, No. 10, 10-30 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 10, 15-36 (2021).
MSC:  30E25 30F10
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Riemann-Hilbert approach and \(N\)-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions. (English. Russian original) Zbl 1482.81014

Theor. Math. Phys. 209, No. 2, 1552-1578 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 274-303 (2021).
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The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach. (English. Russian original) Zbl 1482.81011

Theor. Math. Phys. 209, No. 2, 1537-1551 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 258-273 (2021).
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On the recovery of solutions of a generalized Cauchy-Riemann system in a multidimensional spatial domain from their values on a piece of the boundary of this domain. (English. Russian original) Zbl 1480.30035

Math. Notes 110, No. 3, 393-408 (2021); translation from Mat. Zametki 110, No. 3, 405-423 (2021).
MSC:  30G20 35F45 35N10
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On the properties of semigroups generated by Volterra integro-differential equations with kernels representable by Stieltjes integrals. (English. Russian original) Zbl 1479.45003

Differ. Equ. 57, No. 9, 1231-1248 (2021); translation from Differ. Uravn. 57, No. 9, 1255-1272 (2021).
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