Du, Dianlou; Wang, Xue A new finite-dimensional Hamiltonian systems with a mixed Poisson structure for the KdV equation. (English. Russian original) Zbl 1515.37068 Theor. Math. Phys. 211, No. 3, 745-757 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 361-374 (2022). MSC: 37K10 37K06 35Q53 PDFBibTeX XMLCite \textit{D. Du} and \textit{X. Wang}, Theor. Math. Phys. 211, No. 3, 745--757 (2022; Zbl 1515.37068); translation from Teor. Mat. Fiz. 211, No. 3, 361--374 (2022) Full Text: DOI
Li, Fei; Yao, Yuqin 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 PDFBibTeX XMLCite \textit{F. Li} and \textit{Y. Yao}, Theor. Math. Phys. 210, No. 2, 184--197 (2022; Zbl 1515.37077); translation from Teor. Mat. Fiz. 210, No. 2, 213--228 (2022) Full Text: DOI
Cheng, Jia; Tian, Shou-Fu; Wu, Zhi-Jia 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 PDFBibTeX XMLCite \textit{J. Cheng} et al., Theor. Math. Phys. 209, No. 2, 1579--1598 (2021; Zbl 1484.37077); translation from Teor. Mat. Fiz. 209, No. 2, 304--325 (2021) Full Text: DOI
Amjad, Z.; Khan, D. Binary Darboux transformation for a negative-order AKNS equation. (English. Russian original) Zbl 1472.35331 Theor. Math. Phys. 206, No. 2, 128-141 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 149-163 (2021). MSC: 35Q53 35C08 37K10 37K35 37K40 PDFBibTeX XMLCite \textit{Z. Amjad} and \textit{D. Khan}, Theor. Math. Phys. 206, No. 2, 128--141 (2021; Zbl 1472.35331); translation from Teor. Mat. Fiz. 206, No. 2, 149--163 (2021) Full Text: DOI
Urazboev, G. U.; Xoitmetov, U. A.; Babadjanova, A. K. 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). MSC: 35Q53 35Q55 37K15 81U40 PDFBibTeX XMLCite \textit{G. U. Urazboev} et al., Theor. Math. Phys. 203, No. 3, 734--746 (2020; Zbl 1441.35214); translation from Teor. Mat. Fiz. 203, No. 3, 351--364 (2020) Full Text: DOI
Dyachenko, S. A.; Nabelek, P.; Zakharov, D. V.; Zakharov, V. E. 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). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K10 37K20 37K40 37K15 35Q53 35C08 35Q51 PDFBibTeX XMLCite \textit{S. A. Dyachenko} et al., Theor. Math. Phys. 202, No. 3, 334--343 (2020; Zbl 1456.37071); translation from Teor. Mat. Fiz. 202, No. 3, 382--392 (2020) Full Text: DOI
Zhang, Cheng; Peng, Linyu; Zhang, Da-jun Discrete Crum’s theorems and lattice KdV-type equations. (English. Russian original) Zbl 1445.81020 Theor. Math. Phys. 202, No. 2, 165-182 (2020); translation from Teor. Mat. Fiz. 202, No. 2, 187-206 (2020). MSC: 81Q05 39A12 39A05 37K35 35Q53 35Q55 35P05 35P30 PDFBibTeX XMLCite \textit{C. Zhang} et al., Theor. Math. Phys. 202, No. 2, 165--182 (2020; Zbl 1445.81020); translation from Teor. Mat. Fiz. 202, No. 2, 187--206 (2020) Full Text: DOI
Hasanov, A. B.; Hasanov, M. M. 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 PDFBibTeX XMLCite \textit{A. B. Hasanov} and \textit{M. M. Hasanov}, Theor. Math. Phys. 199, No. 1, 525--532 (2019; Zbl 1428.35513); translation from Teor. Mat. Fiz. 199, No. 1, 60--68 (2019) Full Text: DOI
Chen, Jinbing Quasiperiodic solutions of the negative-order Korteweg-de Vries hierarchy. (English. Russian original) Zbl 1429.37036 Theor. Math. Phys. 199, No. 3, 798-822 (2019); translation from Teor. Mat. Fiz. 199, No. 3, 372-398 (2019). MSC: 37K10 37K20 37K40 35Q53 PDFBibTeX XMLCite \textit{J. Chen}, Theor. Math. Phys. 199, No. 3, 798--822 (2019; Zbl 1429.37036); translation from Teor. Mat. Fiz. 199, No. 3, 372--398 (2019) Full Text: DOI
Ablowitz, M. J.; Feng, Bao-Feng; Luo, Xu-Dan; Musslimani, Z. H. 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). MSC: 35Q55 35Q53 37K15 81Q15 81U40 35A22 35C08 35P25 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Theor. Math. Phys. 196, No. 3, 1241--1267 (2018; Zbl 1408.35169); translation from Teor. Mat. Fiz. 196, No. 3, 343--372 (2018) Full Text: DOI
Kozlowski, K.; Sklyanin, E. K.; Torrielli, A. Quantization of the Kadomtsev-Petviashvili equation. (English. Russian original) Zbl 1390.81228 Theor. Math. Phys. 192, No. 2, 1162-1183 (2017); translation from Teor. Mat. Fiz. 192, No. 2, 259-283 (2017). MSC: 81R12 81S05 37K10 35Q53 PDFBibTeX XMLCite \textit{K. Kozlowski} et al., Theor. Math. Phys. 192, No. 2, 1162--1183 (2017; Zbl 1390.81228); translation from Teor. Mat. Fiz. 192, No. 2, 259--283 (2017) Full Text: DOI arXiv
Babalic, C. N.; Carstea, A. S. 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) MSC: 37K10 37K30 35Q53 37K40 PDFBibTeX XMLCite \textit{C. N. Babalic} and \textit{A. S. Carstea}, Theor. Math. Phys. 188, No. 2, 1172--1180 (2016; Zbl 1354.37064); translation from Teor. Mat. Fiz. 188, No. 2, 244--253 (2016) Full Text: DOI arXiv
Huang, Ying; Liang, Lin 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 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{L. Liang}, Theor. Math. Phys. 184, No. 2, 1106--1113 (2015; Zbl 1329.37065); translation from Teor. Mat. Fiz. 184, No. 2, 244--252 (2015) Full Text: DOI
Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M. Five-wave classical scattering matrix and integrable equations. (English. Russian original) Zbl 1308.76043 Theor. Math. Phys. 180, No. 1, 759-764 (2014); translation from Teor. Mat. Fiz. 180, No. 1, 10-16 (2014). MSC: 76B15 81U20 37K10 PDFBibTeX XMLCite \textit{V. E. Zakharov} et al., Theor. Math. Phys. 180, No. 1, 759--764 (2014; Zbl 1308.76043); translation from Teor. Mat. Fiz. 180, No. 1, 10--16 (2014) Full Text: DOI
Takasaki, K.; Takebe, T. An \(\hbar\)-dependent formulation of the Kadomtsev-Petviashvili hierarchy. (English. Russian original) Zbl 1417.37236 Theor. Math. Phys. 171, No. 2, 683-690 (2012); translation from Teor. Mat. Fiz. 171, No. 2, 303-311 (2012). MSC: 37K10 35Q53 81Q20 34M50 PDFBibTeX XMLCite \textit{K. Takasaki} and \textit{T. Takebe}, Theor. Math. Phys. 171, No. 2, 683--690 (2012; Zbl 1417.37236); translation from Teor. Mat. Fiz. 171, No. 2, 303--311 (2012) Full Text: DOI arXiv
Manakov, S. V.; Santini, P. M. 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). MSC: 35Q53 35B44 35C08 35P25 35Q15 35R30 37K10 37K15 PDFBibTeX XMLCite \textit{S. V. Manakov} and \textit{P. M. Santini}, Theor. Math. Phys. 172, No. 2, 1118--1126 (2012; Zbl 1352.35148); translation from Teor. Mat. Fiz. 172, No. 2, 275--284 (2012) Full Text: DOI
Tian, Shou-Fu; Zhang, Hong-Qing 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). MSC: 35Q35 35Q53 14K25 35C07 35A30 PDFBibTeX XMLCite \textit{S.-F. Tian} and \textit{H.-Q. Zhang}, Theor. Math. Phys. 170, No. 3, 287--314 (2012; Zbl 1274.35294); translation from Teor. Mat. Fiz. 170, No. 3, 350--380 (2012) Full Text: DOI
Khasanov, A. B.; Yakhshimuratov, A. B. 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 PDFBibTeX XMLCite \textit{A. B. Khasanov} and \textit{A. B. Yakhshimuratov}, Theor. Math. Phys. 164, No. 2, 1008--1015 (2010; Zbl 1301.35134); translation from Teor. Mat. Fiz. 164, No. 2, 214--221 (2010) Full Text: DOI
Pelloni, B. Spectral analysis of the elliptic sine-Gordon equation in the quarter plane. (English. Russian original) Zbl 1179.35292 Theor. Math. Phys. 160, No. 1, 1031-1041 (2009); translation from Teor. Mat. Fiz. 160, No. 1, 189-201 (2009). MSC: 35Q53 35Q15 35C05 35A30 PDFBibTeX XMLCite \textit{B. Pelloni}, Theor. Math. Phys. 160, No. 1, 1031--1041 (2009; Zbl 1179.35292); translation from Teor. Mat. Fiz. 160, No. 1, 189--201 (2009) Full Text: DOI
Leble, S. 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). Reviewer: Iliya Iliev (Sofia) MSC: 81T13 35Q40 35Q53 81Q20 35J08 35Q51 82D20 PDFBibTeX XMLCite \textit{S. Leble}, Theor. Math. Phys. 160, No. 1, 976--985 (2009; Zbl 1182.81055); translation from Teor. Mat. Fiz. 160, No. 1, 122--132 (2009) Full Text: DOI arXiv
Kiselev, A. V.; Hussin, V. 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). MSC: 35Q53 35Q51 35C08 37K10 37K40 81Q60 PDFBibTeX XMLCite \textit{A. V. Kiselev} and \textit{V. Hussin}, Theor. Math. Phys. 159, No. 3, 833--841 (2009; Zbl 1179.35288); translation from Teor. Mat. Fiz. 159, No. 3, 490--501 (2009) Full Text: DOI arXiv
Khusnutdinova, K. R.; Samsonov, A. M.; Zakharov, A. S. Nonlinear long-wave models for imperfectly bonded layered waveguides. (English. Russian original) Zbl 1255.78023 Theor. Math. Phys. 159, No. 3, 819-832 (2009); translation from Teor. Mat. Fiz. 159, No. 3, 475-489 (2009). MSC: 78A50 35Q53 PDFBibTeX XMLCite \textit{K. R. Khusnutdinova} et al., Theor. Math. Phys. 159, No. 3, 819--832 (2009; Zbl 1255.78023); translation from Teor. Mat. Fiz. 159, No. 3, 475--489 (2009) Full Text: DOI
Kaup, D. J. Integrable systems and squared eigenfunctions. (English. Russian original) Zbl 1175.81127 Theor. Math. Phys. 159, No. 3, 806-818 (2009); translation from Teor. Mat. Fiz. 159, No. 3, 459-474 (2009). MSC: 81R12 35Q53 37K15 81U40 PDFBibTeX XMLCite \textit{D. J. Kaup}, Theor. Math. Phys. 159, No. 3, 806--818 (2009; Zbl 1175.81127); translation from Teor. Mat. Fiz. 159, No. 3, 459--474 (2009) Full Text: DOI
Zhuravlev, V. M. The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations. (English. Russian original) Zbl 1177.35213 Theor. Math. Phys. 158, No. 1, 48-60 (2009); translation from Teor. Mat. Fiz. 158, No. 1, 58-71 (2009). MSC: 35Q53 37K10 35A30 PDFBibTeX XMLCite \textit{V. M. Zhuravlev}, Theor. Math. Phys. 158, No. 1, 48--60 (2009; Zbl 1177.35213); translation from Teor. Mat. Fiz. 158, No. 1, 58--71 (2009) Full Text: DOI
Kordyukova, S. A. Korteweg-de Vries hierarchy as an asymptotic limit of the Boussinesq system. (English. Russian original) Zbl 1156.35461 Theor. Math. Phys. 154, No. 2, 250-259 (2008); translation from Teor. Mat. Fiz. 154, No. 2, 294-304 (2008). MSC: 35Q53 35Q51 35A35 37K10 37K35 37K40 PDFBibTeX XMLCite \textit{S. A. Kordyukova}, Theor. Math. Phys. 154, No. 2, 250--259 (2008; Zbl 1156.35461); translation from Teor. Mat. Fiz. 154, No. 2, 294--304 (2008) Full Text: DOI
Maslov, E. M.; Kalyakin, L. A.; Shagalov, A. G. Breather resonant phase locking by an external perturbation. (English. Russian original) Zbl 1131.35384 Theor. Math. Phys. 152, No. 2, 1173-1182 (2007); translation from Teor. Mat. Fiz. 152, No. 2, 356-367 (2007). MSC: 35Q53 37K55 35Q51 PDFBibTeX XMLCite \textit{E. M. Maslov} et al., Theor. Math. Phys. 152, No. 2, 1173--1182 (2007; Zbl 1131.35384); translation from Teor. Mat. Fiz. 152, No. 2, 356--367 (2007) Full Text: DOI
Harnad, J.; Orlov, A. Yu. 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). MSC: 37K10 81R05 37K60 35Q53 17B10 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Theor. Math. Phys. 152, No. 2, 1099--1110 (2007; Zbl 1128.37041); translation from Teor. Mat. Fiz. 152, No. 2, 265--277 (2007) Full Text: DOI arXiv
Pashaev, O. K.; Gurkan, Z. N. Abelian Chern-Simons vortices and holomorphic Burgers hierarchy. (English. Russian original) Zbl 1131.37062 Theor. Math. Phys. 152, No. 1, 1017-1029 (2007); translation from Teor. Mat. Fiz. 152, No. 1, 163-176 (2007). MSC: 37K10 81T10 81T13 35Q53 PDFBibTeX XMLCite \textit{O. K. Pashaev} and \textit{Z. N. Gurkan}, Theor. Math. Phys. 152, No. 1, 1017--1029 (2007; Zbl 1131.37062); translation from Teor. Mat. Fiz. 152, No. 1, 163--176 (2007) Full Text: DOI arXiv
Kulish, P. P.; Zeitlin, A. M. Quantum inverse scattering method and (super)conformal field theory. (English) Zbl 1178.81237 Theor. Math. Phys. 142, No. 2, 211-221 (2005); translation from Teor. Mat. Fiz. 142, No. 2, 252-264 (2005). MSC: 81T40 37K10 PDFBibTeX XMLCite \textit{P. P. Kulish} and \textit{A. M. Zeitlin}, Theor. Math. Phys. 142, No. 2, 211--221 (2005; Zbl 1178.81237); translation from Teor. Mat. Fiz. 142, No. 2, 252--264 (2005) Full Text: DOI arXiv
Bruzón, M. S.; Gandarias, M. L.; Muriel, C.; Ramírez, J.; Romero, F. R. 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 PDFBibTeX XMLCite \textit{M. S. Bruzón} et al., Theor. Math. Phys. 137, No. 1, 1378--1389 (2003; Zbl 1178.35328); translation from Teor. Mat. Fiz. 137, No. 1, 27--39 (2003) Full Text: DOI
Gandarias Núñez, Maria Luz; Bruzón, M. Santos; Ramírez Labrador, José; Muriel, C.; Saez, S.; Romero, F. R. 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 PDFBibTeX XMLCite \textit{M. L. Gandarias Núñez} et al., Theor. Math. Phys. 137, No. 1, 1367--1377 (2003; Zbl 1178.35113); translation from Teor. Mat. Fiz. 137, No. 1, 14--26 (2003) Full Text: DOI
Villarroel, J. Stochastic perturbations of line solitons of KP. (English) Zbl 1178.37107 Theor. Math. Phys. 137, No. 3, 1753-1765 (2003); translation from Teor. Mat. Fiz. 137, No. 3, 469-483 (2003). MSC: 37K40 35Q51 60H40 35Q53 PDFBibTeX XMLCite \textit{J. Villarroel}, Theor. Math. Phys. 137, No. 3, 1753--1765 (2003; Zbl 1178.37107); translation from Teor. Mat. Fiz. 137, No. 3, 469--483 (2003) Full Text: DOI
Harnad, J.; Orlov, A. Yu. Scalar products of symmetric functions and matrix integrals. (English) Zbl 1178.82027 Theor. Math. Phys. 137, No. 3, 1676-1690 (2003); translation from Teor. Mat. Fiz. 137, No. 3, 375-392 (2003). MSC: 82B23 05E05 81R12 33C80 35Q53 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Theor. Math. Phys. 137, No. 3, 1676--1690 (2003; Zbl 1178.82027); translation from Teor. Mat. Fiz. 137, No. 3, 375--392 (2003) Full Text: DOI arXiv
Gandarias Núñez, Maria Luz; Bruzón, M. Santos; Ramírez Labrador, José 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 PDFBibTeX XMLCite \textit{M. L. Gandarias Núñez} et al., Theor. Math. Phys. 134, No. 1, 62--71 (2003; Zbl 1068.37049); translation from Teor. Mat. Fiz. 134, No. 1, 74--84 (2003) Full Text: DOI
Gilson, C. R. Generalizing the KP hierarchies: Pfaffian hierarchies. (English. Russian original) Zbl 1067.37091 Theor. Math. Phys. 133, No. 3, 1663-1674 (2002); translation from Teor. Mat. Fiz. 133, No. 3, 405-418 (2002). MSC: 37K10 35Q53 35Q51 37K40 PDFBibTeX XMLCite \textit{C. R. Gilson}, Theor. Math. Phys. 133, No. 3, 1663--1674 (2002; Zbl 1067.37091); translation from Teor. Mat. Fiz. 133, No. 3, 405--418 (2002) Full Text: DOI
Borisov, A. B.; Zykov, S. A.; Pavlov, M. V. Tzitzéica equation and proliferation of nonlinear integrable equations. (English. Russian original) Zbl 1029.37045 Theor. Math. Phys. 131, No. 1, 550-557 (2002); translation from Teor. Mat. Fiz. 131, No. 1, 126-134 (2002). MSC: 37K15 35A22 37K40 35Q53 PDFBibTeX XMLCite \textit{A. B. Borisov} et al., Theor. Math. Phys. 131, No. 1, 550--557 (2002; Zbl 1029.37045); translation from Teor. Mat. Fiz. 131, No. 1, 126--134 (2002) Full Text: DOI
Matveev, V. B. Positons: Slowly decreasing analogues of solitons. (English. Russian original) Zbl 1029.37051 Theor. Math. Phys. 131, No. 1, 483-497 (2002); translation from Teor. Mat. Fiz. 131, No. 1, 44-61 (2002). MSC: 37K40 35Q51 35Q53 37K15 PDFBibTeX XMLCite \textit{V. B. Matveev}, Theor. Math. Phys. 131, No. 1, 483--497 (2002; Zbl 1029.37051); translation from Teor. Mat. Fiz. 131, No. 1, 44--61 (2002) Full Text: DOI
Khabibullin, I. T. Initial boundary value problem for the KdV equation on a semiaxis with homogeneous boundary conditions. (English. Russian original) Zbl 1044.35073 Theor. Math. Phys. 130, No. 1, 25-44 (2002); translation from Teor. Mat. Fiz. 130, No. 1, 31-53 (2002). MSC: 35Q53 37K15 35R30 35P25 PDFBibTeX XMLCite \textit{I. T. Khabibullin}, Theor. Math. Phys. 130, No. 1, 25--44 (2002; Zbl 1044.35073); translation from Teor. Mat. Fiz. 130, No. 1, 31--53 (2002) Full Text: DOI
Goncharenko, V. M. Multisoliton solutions of the matrix KdV equation. (English. Russian original) Zbl 0988.35144 Theor. Math. Phys. 126, No. 1, 81-91 (2001); translation from Teor. Mat. Fiz. 126, No. 1, 102-114 (2001). MSC: 35Q53 37K15 37K40 PDFBibTeX XMLCite \textit{V. M. Goncharenko}, Theor. Math. Phys. 126, No. 1, 81--91 (2001; Zbl 0988.35144); translation from Teor. Mat. Fiz. 126, No. 1, 102--114 (2001) Full Text: DOI
Adler, V. E.; Shabat, A. B.; Yamilov, R. I. 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 PDFBibTeX XMLCite \textit{V. E. Adler} et al., Theor. Math. Phys. 125, No. 3, 1603--1661 (2000; Zbl 1029.37041); translation from Teor. Mat. Fiz. 125, No. 3, 355--424 (2000) Full Text: DOI
Pimentel, B. M.; Fainberg, V. Ya. 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). MSC: 81R20 35Q40 35Q53 81U20 PDFBibTeX XMLCite \textit{B. M. Pimentel} and \textit{V. Ya. Fainberg}, Theor. Math. Phys. 124, No. 3, 1234--1249 (2000; Zbl 0989.81060); translation from Teor. Mat. Fiz. 124, No. 3, 445--462 (2000) Full Text: DOI arXiv
Borisov, A. B. 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 PDFBibTeX XMLCite \textit{A. B. Borisov}, Theor. Math. Phys. 124, No. 2, 1094--1104 (2000; Zbl 0983.35113); translation from Teor. Mat. Fiz. 124, No. 2, 279--291 (2000) Full Text: DOI
Nieszporski, M.; Sym, A. 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). Reviewer: Jan Chrastina (Brno) MSC: 53A05 37K25 37K35 53A25 35Q53 PDFBibTeX XMLCite \textit{M. Nieszporski} and \textit{A. Sym}, Theor. Math. Phys. 122, No. 1, 102--117 (2000; Zbl 0965.53006); translation from Teor. Mat. Fiz. 122, No. 1, 102--117 (2000) Full Text: DOI
Kovalev, V. F.; Shirkov, D. V. 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). Reviewer: Akira Asada (Takarazuka) MSC: 81T17 82B28 35Q53 PDFBibTeX XMLCite \textit{V. F. Kovalev} and \textit{D. V. Shirkov}, Theor. Math. Phys. 121, No. 1, 1315--1332 (1999; Zbl 1007.81051); translation from Teor. Mat. Fiz. 121, No. 1, 66--88 (1999) Full Text: DOI arXiv
Khabibullin, I. T. KdV equation on a half-line with the zero boundary condition. (English. Russian original) Zbl 0946.35090 Theor. Math. Phys. 119, No. 3, 712-718 (1999); translation from Teor. Mat. Fiz. 119, No. 3, 397-404 (1999). MSC: 35Q53 37K15 34A55 34L25 PDFBibTeX XMLCite \textit{I. T. Khabibullin}, Theor. Math. Phys. 119, No. 3, 712--718 (1999; Zbl 0946.35090); translation from Teor. Mat. Fiz. 119, No. 3, 397--404 (1999) Full Text: DOI
Lazarev, V. A. Perturbation of a two-soliton solution of the Korteweg-de Vries equation in the case of close amplitudes. (English. Russian original) Zbl 0944.35086 Theor. Math. Phys. 118, No. 3, 341-346 (1999); translation from Teor. Mat. Fiz. 118, No. 3, 434-440 (1999). MSC: 35Q53 37K40 35B20 PDFBibTeX XMLCite \textit{V. A. Lazarev}, Theor. Math. Phys. 118, No. 3, 341--346 (1999; Zbl 0944.35086); translation from Teor. Mat. Fiz. 118, No. 3, 434--440 (1999) Full Text: DOI
Borisov, A. B.; Zykov, S. A. Reflectionless sine-Gordon potentials with an infinite spectrum. (English. Russian original) Zbl 0944.35081 Theor. Math. Phys. 118, No. 3, 264-271 (1999); translation from Teor. Mat. Fiz. 118, No. 3, 337-346 (1999). MSC: 35Q53 35P30 37K15 PDFBibTeX XMLCite \textit{A. B. Borisov} and \textit{S. A. Zykov}, Theor. Math. Phys. 118, No. 3, 264--271 (1999; Zbl 0944.35081); translation from Teor. Mat. Fiz. 118, No. 3, 337--346 (1999) Full Text: DOI
Khabibullin, I. T. Sine-Gordon equation on the semi-axis. (English. Russian original) Zbl 0946.35089 Theor. Math. Phys. 114, No. 1, 90-98 (1998); translation from Teor. Mat. Fiz. 114, No. 1, 115-125 (1998). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{I. T. Khabibullin}, Theor. Math. Phys. 114, No. 1, 90--98 (1998; Zbl 0946.35089); translation from Teor. Mat. Fiz. 114, No. 1, 115--125 (1998) Full Text: DOI
Leznov, A. N. Integrable two-dimensional ultra-Toda mappings and chains. (English. Russian original) Zbl 0980.37019 Theor. Math. Phys. 117, No. 1, 1194-1207 (1998); translation from Teor. Mat. Fiz. 117, No. 1, 107-122 (1998). MSC: 37K10 37K60 35Q53 37K40 PDFBibTeX XMLCite \textit{A. N. Leznov}, Theor. Math. Phys. 117, No. 1, 1194--1207 (1998; Zbl 0980.37019); translation from Teor. Mat. Fiz. 117, No. 1, 107--122 (1998) Full Text: DOI
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. Towards an inverse scattering theory for two-dimensional nondecaying potentials. (English. Russian original) Zbl 0951.35118 Theor. Math. Phys. 116, No. 1, 741-781 (1998); translation from Teor. Mat. Fiz. 116, No. 1, 3-53 (1998). MSC: 35Q53 37K15 81U40 PDFBibTeX XMLCite \textit{M. Boiti} et al., Theor. Math. Phys. 116, No. 1, 741--781 (1998; Zbl 0951.35118); translation from Teor. Mat. Fiz. 116, No. 1, 3--53 (1998) Full Text: DOI
Smirnov, A. O. On a class of elliptic solutions of the Boussinesq equations. (English. Russian original) Zbl 0963.35172 Theor. Math. Phys. 109, No. 3, 1515-1522 (1996); translation from Teor. Mat. Fiz. 109, No. 3, 347-356 (1996). MSC: 35Q53 37K20 14H42 14K20 PDFBibTeX XMLCite \textit{A. O. Smirnov}, Theor. Math. Phys. 109, No. 3, 1515--1522 (1996; Zbl 0963.35172); translation from Teor. Mat. Fiz. 109, No. 3, 347--356 (1996) Full Text: DOI
Vakulenko, V. I. Solution of the Virasoro constraints for DKP hierarchy. (English. Russian original) Zbl 0927.35100 Theor. Math. Phys. 107, No. 1, 435-440 (1996); translation from Teor. Mat. Fiz. 107, No. 1, 21-26 (1996). MSC: 35Q53 37J35 35Q58 PDFBibTeX XMLCite \textit{V. I. Vakulenko}, Theor. Math. Phys. 107, No. 1, 435--440 (1996; Zbl 0927.35100); translation from Teor. Mat. Fiz. 107, No. 1, 21--26 (1996) Full Text: DOI
Mazur, N. G. Quasi-classical approach to the inverse scattering problem for the KdV equation, and solution of the Whitham modulation equations. (English. Russian original) Zbl 0888.35098 Theor. Math. Phys. 106, No. 1, 35-49 (1996); translation from Teor. Mat. Fiz. 106, No. 1, 44-61 (1996). MSC: 35Q53 35A22 35R30 35P25 PDFBibTeX XMLCite \textit{N. G. Mazur}, Theor. Math. Phys. 106, No. 1, 35--49 (1996; Zbl 0888.35098); translation from Teor. Mat. Fiz. 106, No. 1, 44--61 (1996) Full Text: DOI
Kharchev, S.; Mironov, A.; Morozov, A. Nonstandard KP evolution and the quantum \(\tau\)-function. (English) Zbl 0856.35116 Theor. Math. Phys. 104, No. 1, 866-878 (1995) and Teor. Mat. Fiz. 104, No. 1, 129-143 (1995). MSC: 35Q53 81R50 53D50 26E35 PDFBibTeX XMLCite \textit{S. Kharchev} et al., Theor. Math. Phys. 104, No. 1, 866--878 (1995) and Teor. Mat. Fiz. 104, No.~1, 129--143 (1995; Zbl 0856.35116) Full Text: DOI arXiv
Enriquez, B.; Feigin, B. L. Integrals of motion of the classical lattice sine-Gordon system. (English) Zbl 0855.35113 Theor. Math. Phys. 103, No. 3, 738-756 (1995) and Teor. Mat. Fiz. 103, No. 3, 507-528 (1995). MSC: 35Q53 81T25 82B20 PDFBibTeX XMLCite \textit{B. Enriquez} and \textit{B. L. Feigin}, Theor. Math. Phys. 103, No. 3, 738--756 (1995) and Teor. Mat. Fiz. 103, No.~3, 507--528 (1995; Zbl 0855.35113) Full Text: DOI arXiv
Gorsky, A.; Marshakov, A.; Orlov, A.; Rubtsov, V. On third Poisson structure of KdV equation. (English) Zbl 0856.35115 Theor. Math. Phys. 103, No. 3, 701-705 (1995) and Teor. Mat. Fiz. 103, No. 3, 461-466 (1995). MSC: 35Q53 53D50 81S40 PDFBibTeX XMLCite \textit{A. Gorsky} et al., Theor. Math. Phys. 103, No. 3, 701--705 (1995) and Teor. Mat. Fiz. 103, No.~3, 461--466 (1995; Zbl 0856.35115) Full Text: DOI arXiv
Carroll, Robert On canonical coordinates in soliton hierarchies. (English) Zbl 0851.35111 Theor. Math. Phys. 99, No. 2, 538-542 (1994) and Teor. Mat. Fiz. 99. No. 2, 220-225 (1994). MSC: 35Q51 35Q53 PDFBibTeX XMLCite \textit{R. Carroll}, Theor. Math. Phys. 99, No. 2, 538--542 (1994) and Teor. Mat. Fiz. 99. No.~2, 220--225 (1994; Zbl 0851.35111) Full Text: DOI
Bogdanov, L. V. Generic solutions for some integrable lattice equations. (English) Zbl 0850.35095 Theor. Math. Phys. 99, No. 2, 505-510 (1994) and Teor. Mat. Fiz. 99. No. 2, 177-184 (1994). MSC: 35Q53 81T25 PDFBibTeX XMLCite \textit{L. V. Bogdanov}, Theor. Math. Phys. 99, No. 2, 505--510 (1994) and Teor. Mat. Fiz. 99. No.~2, 177--184 (1994; Zbl 0850.35095) Full Text: DOI arXiv
Enriquez, B. Nilpotent action on the KdV variables and 2-dimensional Drinfeld-Sokolov reduction. (English) Zbl 0833.35123 Theor. Math. Phys. 98, No. 3, 256-258 (1994) and Teor. Mat. Fiz. 98, No. 3, 375-378 (1994). MSC: 35Q53 81R10 17B37 81R50 PDFBibTeX XMLCite \textit{B. Enriquez}, Theor. Math. Phys. 98, No. 3, 1 (1994; Zbl 0833.35123) Full Text: DOI arXiv
Ryzhik, L. V.; Shul’man, E. I. Symmetry algebra of nonlinear integrable equations. (English. Russian original) Zbl 0852.35129 Theor. Math. Phys. 94, No. 4, 387-392 (1993); translation from Teor. Mat. Fiz. 95, No. 1, 34-41 (1993). MSC: 35Q53 58J70 81U40 PDFBibTeX XMLCite \textit{L. V. Ryzhik} and \textit{E. I. Shul'man}, Theor. Math. Phys. 94, No. 4, 387--392 (1993; Zbl 0852.35129); translation from Teor. Mat. Fiz. 95, No. 1, 34--41 (1993) Full Text: DOI
de Vega, H. J.; Mikhajlov, A. V.; Sánchez, N. Exact string solutions in \(2+1\)-dimensional de Sitter spacetime. (English) Zbl 0797.58097 Theor. Math. Phys. 94, No. 2, 166-172 (1993) and Teor. Mat. Fiz. 94, No. 2, 232-240 (1993). MSC: 58Z05 83C75 83E30 35Q53 PDFBibTeX XMLCite \textit{H. J. de Vega} et al., Theor. Math. Phys. 94, No. 2, 1 (1993; Zbl 0797.58097) Full Text: DOI arXiv
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation. (English) Zbl 0806.35131 Theor. Math. Phys. 93, No. 2, 1200-1224 (1992) and Teor. Mat. Fiz. 93, No. 2, 181-210 (1992). Reviewer: V.Burjan (Praha) MSC: 35P25 35Q53 47A40 PDFBibTeX XMLCite \textit{M. Boiti} et al., Theor. Math. Phys. 93, No. 2, 1 (1992; Zbl 0806.35131) Full Text: DOI
Khovanova, T. G. Korteweg-de Vries superequation related to the Lie superalgebra of Neveu-Schwarz-2 string theory. (English. Russian original) Zbl 0656.35136 Theor. Math. Phys. 72, No. 2, 899-904 (1987); translation from Teor. Mat. Fiz. 72, No. 2, 306-312 (1987). MSC: 35Q99 35A30 PDFBibTeX XMLCite \textit{T. G. Khovanova}, Theor. Math. Phys. 72, No. 2, 899--904 (1987; Zbl 0656.35136); translation from Teor. Mat. Fiz. 72, No. 2, 306--312 (1987) Full Text: DOI
Svinolupov, S. I. Analogs of the Burgers equation of arbitrary order. (English. Russian original) Zbl 0605.35071 Theor. Math. Phys. 65, 1177-1180 (1985); translation from Teor. Mat. Fiz. 65, No. 2, 303-307 (1985). MSC: 35Q99 35G20 35A30 PDFBibTeX XMLCite \textit{S. I. Svinolupov}, Theor. Math. Phys. 65, 1177--1180 (1985; Zbl 0605.35071); translation from Teor. Mat. Fiz. 65, No. 2, 303--307 (1985) Full Text: DOI
Andreev, V. A. Bäcklund transformations of the Painlevé equations and rational solutions of the Korteweg-de Vries equation. (English. Russian original) Zbl 0563.35068 Theor. Math. Phys. 61, 973-976 (1984); translation from Teor. Mat. Fiz. 61, No. 1, 29-34 (1984). MSC: 35Q99 35A30 PDFBibTeX XMLCite \textit{V. A. Andreev}, Theor. Math. Phys. 61, 973--976 (1984; Zbl 0563.35068); translation from Teor. Mat. Fiz. 61, No. 1, 29--34 (1984) Full Text: DOI
Bogolyubov, N. N. jun.; Prikarpatskij, A. K.; Samojlenko, V. G. Discrete periodic problem for the modified nonlinear Korteweg-de Vries equation. (English) Zbl 0549.34025 Theor. Math. Phys. 50, 75-81 (1982). MSC: 34L99 34K10 34A25 31A25 34A34 PDFBibTeX XMLCite \textit{N. N. Bogolyubov jun.} et al., Theor. Math. Phys. 50, 75--81 (1982; Zbl 0549.34025) Full Text: DOI
Leznov, A. N.; Savel’ev, M. V.; Smirnov, V. G. General solutions of the two-dimensional system of Volterra equations which realize the Bäcklund transformation for the Toda lattice. (English) Zbl 0467.35079 Theor. Math. Phys. 47, 417-422 (1981). MSC: 35Q99 35P25 35A22 35R10 PDFBibTeX XMLCite \textit{A. N. Leznov} et al., Theor. Math. Phys. 47, 417--422 (1981; Zbl 0467.35079) Full Text: DOI