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Found 67 Documents (Results 1–67)

Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources. (English. Russian original) Zbl 1515.37077

Theor. Math. Phys. 210, No. 2, 184-197 (2022); translation from Teor. Mat. Fiz. 210, No. 2, 213-228 (2022).
MSC:  37K35 37K40 35Q53
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On the \(\bar\partial \)-problem and dressing method for the complex vector modified KdV equation. (English. Russian original) Zbl 1484.37077

Theor. Math. Phys. 209, No. 2, 1579-1598 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 304-325 (2021).
MSC:  37K10 35Q53 37K40
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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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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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Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions. (Integration of the nonlinear Schr\"{f}inger equation with an additional term in the class of periodic functions.) (English. Russian original) Zbl 1428.35513

Theor. Math. Phys. 199, No. 1, 525-532 (2019); translation from Teor. Mat. Fiz. 199, No. 1, 60-68 (2019).
MSC:  35Q55 35Q53 34B24
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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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Bilinear approach to the supersymmetric Gardner equation. (English. Russian original) Zbl 1354.37064

Theor. Math. Phys. 188, No. 2, 1172-1180 (2016); translation from Teor. Mat. Fiz. 188, No. 2, 244-253 (2016).
Reviewer: Ma Wen-Xiu (Tampa)
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Exact two-soliton solutions and two-periodic solutions of the perturbed mKdV equation with variable coefficients. (English. Russian original) Zbl 1329.37065

Theor. Math. Phys. 184, No. 2, 1106-1113 (2015); translation from Teor. Mat. Fiz. 184, No. 2, 244–252 (2015).
MSC:  37K10 35Q53 37K40
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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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Super Riemann theta function periodic wave solutions and rational characteristics for a supersymmetric KdV-Burgers equation. (English. Russian original) Zbl 1274.35294

Theor. Math. Phys. 170, No. 3, 287-314 (2012); translation from Teor. Mat. Fiz. 170, No. 3, 350-380 (2012).
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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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Quantum corrections to static solutions of the sine-Gordon and Nahm models via a generalized zeta function. (English. Russian original) Zbl 1182.81055

Theor. Math. Phys. 160, No. 1, 976-985 (2009); translation from Teor. Mat. Fiz. 160, No. 1, 122-132 (2009).
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Hirota’s virtual multisoliton solutions of \(N=2\) supersymmetric Korteweg-de Vries equations. (English. Russian original) Zbl 1179.35288

Theor. Math. Phys. 159, No. 3, 833-841 (2009); translation from Teor. Mat. Fiz. 159, No. 3, 490-501 (2009).
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Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. (English. Russian original) Zbl 1128.37041

Theor. Math. Phys. 152, No. 2, 1099-1110 (2007); translation from Teor. Mat. Fiz. 152, No. 2, 265-277 (2007).
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Traveling-wave solutions of the Schwarz-Korteweg-de Vries equation in \(2+1\) dimensions and the Ablowitz-Kaup-Newell-Segur equation through symmetry reductions. (English) Zbl 1178.35328

Theor. Math. Phys. 137, No. 1, 1378-1389 (2003); translation from Teor. Mat. Fiz. 137, No. 1, 27-39 (2003).
MSC:  35Q53 37K40 35A30
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The Calogero-Bogoyavlenskii-Schiff equation in \(2+1\) dimensions. (English) Zbl 1178.35113

Theor. Math. Phys. 137, No. 1, 1367-1377 (2003); translation from Teor. Mat. Fiz. 137, No. 1, 14-26 (2003).
MSC:  35Q53 37K10 35A30
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Classical symmetry reductions of the Schwarz-Korteweg-de Vries equation in \(2+1\) dimensions. (English. Russian original) Zbl 1068.37049

Theor. Math. Phys. 134, No. 1, 62-71 (2003); translation from Teor. Mat. Fiz. 134, No. 1, 74-84 (2003).
MSC:  37K10 35A30 35Q53 37K05
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Symmetry approach to the integrability problem. (English. Russian original) Zbl 1029.37041

Theor. Math. Phys. 125, No. 3, 1603-1661 (2000); translation from Teor. Mat. Fiz. 125, No. 3, 355-424 (2000).
Reviewer: Ma Wen-Xiu (Tampa)
MSC:  37K10 35Q55 35Q53 35Q58 37-02 37K60
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Equivalence of the Duffin-Kemmer-Petiau and Klein-Gordon-Fock equations. (English. Russian original) Zbl 0989.81060

Theor. Math. Phys. 124, No. 3, 1234-1249 (2000); translation from Teor. Mat. Fiz. 124, No. 3, 445-462 (2000).
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Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems. (English. Russian original) Zbl 0983.35113

Theor. Math. Phys. 124, No. 2, 1094-1104 (2000); translation from Teor. Mat. Fiz. 124, No. 2, 279-291 (2000).
MSC:  35Q53 37K15 37K40 35B40 35Q58
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Bäcklund transformations for hyperbolic surfaces in \(E^3\) via Weingarten congruences. (English. Russian original) Zbl 0965.53006

Theor. Math. Phys. 122, No. 1, 84-97 (2000); translation from Teor. Mat. Fiz. 122, No. 1, 102-117 (2000).
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Functional self-similarity and renormalization group symmetry in mathematical physics. (English. Russian original) Zbl 1007.81051

Theor. Math. Phys. 121, No. 1, 1315-1332 (1999); translation from Teor. Mat. Fiz. 121, No. 1, 66-88 (1999).
MSC:  81T17 82B28 35Q53
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