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Found 128 Documents (Results 1–100)

Integration of negative-order modified Korteweg-de Vries equation in a class of periodic functions. (English. Russian original) Zbl 07824536

Theor. Math. Phys. 217, No. 2, 1689-1699 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 317-328 (2023).
MSC:  37K15 37K10 35Q53
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Revised Riemann-Hilbert problem for the derivative nonlinear Schrödinger equation: vanishing boundary condition. (English. Russian original) Zbl 07805991

Theor. Math. Phys. 217, No. 1, 1595-1608 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 204-219 (2023).
MSC:  35Q15 35Q55 37K15
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Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line. (English. Russian original) Zbl 1516.37099

Theor. Math. Phys. 216, No. 1, 1010-1023 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 117-132 (2023).
MSC:  37K15 35Q55
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A novel kind of a multicomponent hierarchy of discrete soliton equations and its application. (English. Russian original) Zbl 1516.37089

Theor. Math. Phys. 215, No. 3, 823-836 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 421-436 (2023).
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Two-component complex modified Korteweg-de Vries equations: new soliton solutions from novel binary Darboux transformation. (English. Russian original) Zbl 1516.37111

Theor. Math. Phys. 214, No. 2, 183-193 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 211-223 (2023).
MSC:  37K35 37K10 35Q53
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Integrating the modified Korteweg-de Vries-sine-Gordon equation in the class of periodic infinite-gap functions. (English. Russian original) Zbl 1516.37100

Theor. Math. Phys. 214, No. 2, 170-182 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 198-210 (2023).
MSC:  37K15 35Q51 35Q53
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Librations with large periods in tunneling: efficient calculation and applications to trigonal dimers. (English. Russian original) Zbl 07608928

Theor. Math. Phys. 213, No. 1, 1453-1476 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 163-190 (2022).
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On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems. (English. Russian original) Zbl 1516.37080

Theor. Math. Phys. 213, No. 1, 1331-1347 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 20-40 (2022).
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Real Hamiltonian forms of affine Toda field theories: spectral aspects. (English. Russian original) Zbl 1516.37079

Theor. Math. Phys. 212, No. 2, 1053-1072 (2022); translation from Teor. Mat. Fiz. 212, No. 2, 190-212 (2022).
MSC:  37K10 37K30 35Q15
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Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method. (English. Russian original) Zbl 1515.80008

Theor. Math. Phys. 211, No. 2, 595-610 (2022); translation from Teor. Mat. Fiz. 211, No. 2, 181-199 (2022).
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On the Riemann-Hilbert problem of the matrix Lakshmanan-Porsezian-Daniel system with a \(4\times4\) AKNS-type matrix Lax pair. (English. Russian original) Zbl 1515.37069

Theor. Math. Phys. 210, No. 3, 337-352 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 387-404 (2022).
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Integration of the differential-difference sine-Gordon equation with a self-consistent source. (English. Russian original) Zbl 1515.37072

Theor. Math. Phys. 210, No. 3, 327-336 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 375-386 (2022).
MSC:  37K15 35Q51
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Application of the \(\bar\partial \)-dressing method to a \((2+1)\)-dimensional equation. (English. Russian original) Zbl 1486.81147

Theor. Math. Phys. 209, No. 3, 1717-1725 (2021); translation from Teor. Mat. Fiz. 209, No. 3, 465-474 (2021).
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Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group. (English. Russian original) Zbl 1482.81012

Theor. Math. Phys. 208, No. 3, 1265-1276 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 481-494 (2021).
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Fractional derivative method for describing solitons on the surface of deep water. (English. Russian original) Zbl 1487.76021

Theor. Math. Phys. 208, No. 3, 1201-1206 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 409-415 (2021).
MSC:  76B25 76M22 26A33
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Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster. (English. Russian original) Zbl 1458.81022

Theor. Math. Phys. 205, No. 3, 1652-1665 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 467-483 (2020).
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Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. (English. Russian original) Zbl 1453.81024

Theor. Math. Phys. 204, No. 2, 984-992 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 171-180 (2020).
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Integration of the matrix modified Korteweg-de Vries equation with an integral-type source. (English. Russian original) Zbl 1441.35214

Theor. Math. Phys. 203, No. 3, 734-746 (2020); translation from Teor. Mat. Fiz. 203, No. 3, 351-364 (2020).
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Integration of the nonlinear Korteweg-de Vries equation with an additional term. (English. Russian original) Zbl 1450.37063

Theor. Math. Phys. 203, No. 2, 596-607 (2020); translation from Teor. Mat. Fiz. 203, No. 2, 192-204 (2020).
MSC:  37K15 37K10 35Q53
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Primitive solutions of the Korteweg-de Vries equation. (English. Russian original) Zbl 1456.37071

Theor. Math. Phys. 202, No. 3, 334-343 (2020); translation from Teor. Mat. Fiz. 202, No. 3, 382-392 (2020).
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Semiclassical asymptotic behavior of the lower spectral bands of the Schrödinger operator with a trigonal-symmetric periodic potential. (English. Russian original) Zbl 1445.81022

Theor. Math. Phys. 202, No. 2, 231-242 (2020); translation from Teor. Mat. Fiz. 202, No. 2, 264-277 (2020).
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Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. (English. Russian original) Zbl 1441.81091

Theor. Math. Phys. 201, No. 3, 1742-1770 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 382-414 (2019).
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Statistical nature of Skyrme-Faddeev models in 2+1 dimensions and normalizable fermions. (English. Russian original) Zbl 1436.81094

Theor. Math. Phys. 200, No. 3, 1253-1268 (2019); translation from Teor. Mat. Fiz. 200, No. 3, 381-398 (2019).
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Binary Darboux transformations of the supersymmetric Heisenberg magnet model. (English. Russian original) Zbl 1435.82038

Theor. Math. Phys. 199, No. 3, 784-797 (2019); translation from Teor. Mat. Fiz. 199, No. 3, 357-371 (2019).
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Asymptotics of wave functions of the stationary Schrödinger equation in the Weyl chamber. (English. Russian original) Zbl 1411.81090

Theor. Math. Phys. 197, No. 2, 1626-1634 (2018); translation from Teor. Mat. Fiz. 197, No. 2, 269-278 (2018).
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Inverse scattering transform for the nonlocal reverse space-time nonlinear Schrödinger equation. (English. Russian original) Zbl 1408.35169

Theor. Math. Phys. 196, No. 3, 1241-1267 (2018); translation from Teor. Mat. Fiz. 196, No. 3, 343-372 (2018).
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Nonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spaces. (English. Russian original) Zbl 1405.37077

Theor. Math. Phys. 197, No. 1, 1430-1450 (2018); translation from Teor. Mat. Fiz. 197, No. 1, 45-67 (2018).
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Scale transformations in phase space and stretched states of a harmonic oscillator. (English. Russian original) Zbl 1390.81162

Theor. Math. Phys. 192, No. 1, 1080-1096 (2017); translation from Teor. Mat. Fiz. 192, No. 1, 164-184 (2017).
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An integral geometry lemma and its applications: the nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects. (English. Russian original) Zbl 1362.37141

Theor. Math. Phys. 189, No. 1, 1450-1458 (2016); translation from Teor. Mat. Fiz. 189, No. 1, 59-68 (2016).
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Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters. (English. Russian original) Zbl 1342.81136

Theor. Math. Phys. 187, No. 1, 511-524 (2016); translation from Teor. Mat. Fiz. 187, No. 1, 74-87 (2016).
MSC:  81Q20 81Q05 35P05
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Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics. (English. Russian original) Zbl 1338.81196

Theor. Math. Phys. 186, No. 1, 2-20 (2016); translation from Teor. Mat. Fiz. 186, No. 1, 5-26 (2016).
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Analyzing the dependence of finite-fold approximations of the harmonic oscillator equilibrium density matrix and of the Wigner function on the quantization prescription. (English. Russian original) Zbl 1325.81076

Theor. Math. Phys. 184, No. 1, 986-995 (2015); translation from Teor. Mat. Fiz. 184, No. 1, 106-116 (2015).
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Non-Markov dissipative dynamics of electron transfer in a photosynthetic reaction center. (English. Russian original) Zbl 1298.81134

Theor. Math. Phys. 178, No. 2, 257-264 (2014); translation from Teor. Mat. Fiz. 178, No. 2, 295-304 (2014).
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Spectra of the quantized action variables of the compactified Ruijsenaars-Schneider system. (English. Russian original) Zbl 1282.81088

Theor. Math. Phys. 171, No. 2, 704-714 (2012); translation from Teor. Mat. Fiz. 171, No. 2, 326-339 (2012).
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Wave breaking in solutions of the dispersionless Kadomtsev-Petviashvili equation at a finite time. (English. Russian original) Zbl 1352.35148

Theor. Math. Phys. 172, No. 2, 1118-1126 (2012); translation from Teor. Mat. Fiz. 172, No. 2, 275-284 (2012).
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Two-dimensional Toda field equations related to the exceptional algebra \(\mathfrak g_2\): spectral properties of the Lax operators. (English. Russian original) Zbl 1341.37038

Theor. Math. Phys. 172, No. 2, 1085-1096 (2012); translation from Teor. Mat. Fiz. 172, No. 2, 236-249 (2012).
MSC:  37K10 17B80 17B25
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The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions. (English. Russian original) Zbl 1301.35134

Theor. Math. Phys. 164, No. 2, 1008-1015 (2010); translation from Teor. Mat. Fiz. 164, No. 2, 214-221 (2010).
MSC:  35Q53 34B24 37K15
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System of equations for stimulated combination scattering and the related double periodic \(A _n^{(1)}\) Toda chains. (English. Russian original) Zbl 1185.37152

Theor. Math. Phys. 156, No. 1, 1020-1027 (2008); translation from Teor. Mat. Fiz. 156, No. 1, 67-76 (2008).
MSC:  37K15 37K35 78A45
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A hierarchy of integrable partial differential equations in \(2+1\) dimensions associated with one-parameter families of one-dimensional vector fields. (English. Russian original) Zbl 1131.37061

Theor. Math. Phys. 152, No. 1, 1004-1011 (2007); translation from Teor. Mat. Fiz. 152, No. 1, 147-156 (2007).
MSC:  37K10 35Q58 37K15 35R30
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Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton-ehrenfest system. (English. Russian original) Zbl 1118.81033

Theor. Math. Phys. 150, No. 1, 21-33 (2007); translation from Teor. Mat. Fiz. 150, No. 1, 26-40 (2007).
MSC:  81Q20 81S30
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Toda chain, Stieltjes function, and orthogonal polynomials. (English. Russian original) Zbl 1121.37054

Theor. Math. Phys. 151, No. 1, 505-528 (2007); translation from Teor. Mat. Fiz. 151, No. 1, 81-108 (2007).
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Quantized Riemann surfaces and semiclassical spectral series for a non-self-adjoint Schrödinger operator with periodic coefficients. (English) Zbl 1177.81043

Theor. Math. Phys. 148, No. 2, 1049-1066 (2006); translation from Teor. Mat. Fiz. 148, No. 2, 206-226 (2006).
MSC:  81Q20 34L40
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Spectral theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential. (English) Zbl 1178.37096

Theor. Math. Phys. 144, No. 2, 1100-1116 (2005); translation from Teor. Mat. Fiz. 144, No. 2, 257-276 (2005).
MSC:  37K15 35Q53
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Period map for nonlinear pulses in optical dispersion-managed fibers. (English. Russian original) Zbl 1076.78010

Theor. Math. Phys. 134, No. 1, 107-116 (2003); translation from Teor. Mat. Fiz. 134, No. 1, 124-134 (2003).
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The asymptotic form of the lower Landau bands in a strong magnetic field. (English. Russian original) Zbl 1039.81023

Theor. Math. Phys. 131, No. 2, 704-728 (2002); translation from Teor. Mat. Fiz. 131, No. 2, 304-331 (2002).
MSC:  81Q20 81Q05 37J15 81Q10 82D20
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