Geometrical methods in theorz of nolinear differential equations.
Main publications:
Dryuma V. S., “Ob analiticheskom reshenii dvumernogo uravneniya Kortevega–de Vriza (KdV)”, Pisma v ZhETF, 19 (1973), 753–757
Dryuma V. S., “O geometrii differentsialnykh uravnenii vtorogo poryadka”, Trudy Vsesoyuznoi konferentsii «Nelineinye yavleniya», ред. K. V. Frolov, Nauka, M., 1991, 41–47
Dryuma V. S., “Geometry of second order ODE's and the Finsler metrics in theory of nonlinear dynamical systems”, Teoreticheskaya i matematicheskaya fizika, 99:2 (1994), 241–248
Dryuma V. S., “On Initial Values Problem in theory of second order ODE's”, Proceedings of the Workshop on Nonlinearity, Integrability and all that: Twenty years after NEEDS'79 (Lecce, Italy, 1–10 July, 1999), ed. M. Boiti, World Scientific, 2000, 109–116
Dryuma V. S., “Applications of the Riemannian and Einstein–Weyl geometry in theory of second order ODE's”, Teoreticheskaya i matematicheskaya fizika, 128:1 (2001), 15–26
Dryuma V., “The Riemann and Einstein–Weyl geometries in the theory of ordinary differential equations, their applications and all that”, New Trends in Integrability and Partial Solvability, eds. A. B. Shabat et al., Kluwer Academic Publishers, The Netherlands, 115–156
Dryuma V. S., “On the integration of Cylindrical KP equation by the method of inverse problem of scattering theory”, DAN SSSR, 268 (1983), 15–17; SMD. Sov. Math. Dokl., 27 (1983), 6–8
Dryuma V. S., “Group-theoretical interpretation of integrable nonlinear differential equations&”, Differenzialnye uravneniya, Minsk, 13 (1977), 1195–1197
Dryuma V. S., “On analitical solutions of cylindrical Korteveg&–de Vrise equation”, Izvestiya AN MSSR, 1976, no. 3, 14–16
Dryuma V. S., “Analitic solution of the two-dimemsional Korteveg–de Vries (KdV) equation”, Sov. Phys. JETF Lett., 19 (1974), 387–388
Valerii Driuma, Maxim Pavlov, “On initial value problem in theory of the second order differential equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 2, 51–58
11.
Valerii Dryuma, “The Riemann extensions in theory of differential equations and their applications”, Mat. Fiz. Anal. Geom., 10:3 (2003), 307–325
V. S. Dryuma, “Applications of Riemannian and Einstein–Weyl Geometry in the Theory of Second-Order Ordinary Differential Equations”, TMF, 128:1 (2001), 15–26; Theoret. and Math. Phys., 128:1 (2001), 845–855
V. S. Dryuma, “Geometrical properties of the multidimensional nonlinear differential equations and the finsler metrics of phase spaces of dynamical systems”, TMF, 99:2 (1994), 241–249; Theoret. and Math. Phys., 99:2 (1994), 555–561
V. S. Dryuma, “On the integration of the cylindrical Kadomtsev–Petviashvili equation by the method of the inverse problem of scattering theory”, Dokl. Akad. Nauk SSSR, 268:1 (1983), 15–17
V. S. Dryuma, “A group interpretation of nonlinear wave equations that are integrable by the method of the inverse problem of scattering theory”, Differ. Uravn., 13:9 (1977), 1713–1715
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