Gutshabash, E. Sh.; Lipovskii, V. D.; Nikulichev, S. S. Nonlinear \(\sigma\)-model in a curved space, gauge equivalence, and exact solutions of \((2+0)\)-dimensional integrable equations. (English. Russian original) Zbl 1113.81095 Theor. Math. Phys. 115, No. 3, 619-638 (1998); translation from Teor. Mat. Fiz. 115, No. 3, 323-348 (1998). MSC: 81T10 35Q58 81R12 81T20 37K10 PDFBibTeX XMLCite \textit{E. Sh. Gutshabash} et al., Theor. Math. Phys. 115, No. 3, 619--638 (1998; Zbl 1113.81095); translation from Teor. Mat. Fiz. 115, No. 3, 323--348 (1998) Full Text: DOI
Gutshabash, E. Sh.; Lipovskij, V. D. Boundary-value problem for two-dimensional stationary Heisenberg magnet with nontrivial background. I. (English. Russian original) Zbl 0798.35142 Theor. Math. Phys. 90, No. 2, 175-184 (1992); translation from Teor. Mat. Fiz. 90, No. 2, 259-272 (1992). MSC: 35Q60 37J35 37K10 82D45 35R30 58J72 PDFBibTeX XMLCite \textit{E. Sh. Gutshabash} and \textit{V. D. Lipovskij}, Theor. Math. Phys. 90, No. 2, 1 (1992; Zbl 0798.35142); translation from Teor. Mat. Fiz. 90, No. 2, 259--272 (1992) Full Text: DOI
Gutshabash, E. S.; Lipovskij, V. D. Boundary-value problem for the two-dimensional elliptic sine-Gordon equation and its application to the theory of the stationary Josephson effect. (English. Russian original) Zbl 0792.35132 J. Math. Sci., New York 68, No. 2, 197-201 (1994); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 180, 53-62 (1990). MSC: 35Q53 35J25 82C70 PDFBibTeX XMLCite \textit{E. S. Gutshabash} and \textit{V. D. Lipovskij}, J. Math. Sci., New York 68, No. 2, 1 (1990; Zbl 0792.35132); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 180, 53--62 (1990) Full Text: DOI EuDML
Lipovskij, V. D.; Shirokov, A. V. Example of gauge equivalence of multidimensional integrable equations. (English. Russian original) Zbl 0716.35078 Funct. Anal. Appl. 23, No. 3, 225-226 (1989); translation from Funkts. Anal. Prilozh. 23, No. 3, 65-66 (1989). MSC: 35Q55 81V10 35Q58 PDFBibTeX XMLCite \textit{V. D. Lipovskij} and \textit{A. V. Shirokov}, Funct. Anal. Appl. 23, No. 3, 225--226 (1989; Zbl 0716.35078); translation from Funkts. Anal. Prilozh. 23, No. 3, 65--66 (1989) Full Text: DOI
Kulish, P. P.; Lipovskij, V. D. Hamiltonian interpretation of the method of the inverse problem for the Davey-Stewartson equation. (English. Russian original) Zbl 0810.35141 J. Sov. Math. 46, No. 5, 2083-2094 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 161, 54-71 (1987). MSC: 35Q99 76B15 PDFBibTeX XMLCite \textit{P. P. Kulish} and \textit{V. D. Lipovskij}, J. Sov. Math. 46, No. 5, 2083--2094 (1987; Zbl 0810.35141); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 161, 54--71 (1987) Full Text: DOI
Lipovskij, V. D. Hamiltonian structure of the Kadomtsev-Petviashvili. II: Equation in the class of decreasing Cauchy data. (English. Russian original) Zbl 0675.35072 Funct. Anal. Appl. 20, 282-291 (1986); translation from Funkts. Anal. Prilozh. 20, No. 4, 35-45 (1986). Reviewer: A.V.Bocharov MSC: 35Q99 35A30 35P25 35R30 PDFBibTeX XMLCite \textit{V. D. Lipovskij}, Funct. Anal. Appl. 20, 282--291 (1986; Zbl 0675.35072); translation from Funkts. Anal. Prilozh. 20, No. 4, 35--45 (1986) Full Text: DOI
Lipovskij, V. D.; Matveev, V. B.; Smirnov, A. O. Connection between the Kadomtsev-Petviashvili and Johnson equations. (English. Russian original) Zbl 0673.35092 J. Sov. Math. 46, No. 1, 1609-1612 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 150, 70-75 (1986). MSC: 35Q99 35B30 PDFBibTeX XMLCite \textit{V. D. Lipovskij} et al., J. Sov. Math. 46, No. 1, 1609--1612 (1986; Zbl 0673.35092); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 150, 70--75 (1986) Full Text: DOI